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48448840928880 = 2435734078464513
BaseRepresentation
bin10110000010000010111111…
…11101000000111001110000
320100112122221000201001010110
423001001133331000321300
522322241211234211010
6251013031255101320
713130212305025530
oct1301013775007160
9210478830631113
1048448840928880
111448a046711437
125525862971840
1321059243a5a72
14bd6d177334c0
155903eb2bc120
hex2c105ff40e70

48448840928880 has 160 divisors (see below), whose sum is σ = 171697723213824. Its totient is φ = 11070769102848.

The previous prime is 48448840928867. The next prime is 48448840928893. The reversal of 48448840928880 is 8882904884484.

It is an interprime number because it is at equal distance from previous prime (48448840928867) and next prime (48448840928893).

It is a super-2 number, since 2×484488409288802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1491504 + ... + 9956016.

Almost surely, 248448840928880 is an apocalyptic number.

48448840928880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48448840928880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85848861606912).

48448840928880 is an abundant number, since it is smaller than the sum of its proper divisors (123248882284944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48448840928880 is a wasteful number, since it uses less digits than its factorization.

48448840928880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467943 (or 8467937 counting only the distinct ones).

The product of its (nonzero) digits is 1207959552, while the sum is 75.

The spelling of 48448840928880 in words is "forty-eight trillion, four hundred forty-eight billion, eight hundred forty million, nine hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3407 6814 10221 13628 17035 20442 23849 27256 34070 40884 47698 51105 54512 68140 71547 81768 95396 102210 119245 136280 143094 163536 190792 204420 238490 272560 286188 357735 381584 408840 476980 572376 715470 817680 953960 1144752 1430940 1907920 2861880 5723760 8464513 16929026 25393539 33858052 42322565 50787078 59251591 67716104 84645130 101574156 118503182 126967695 135432208 169290260 177754773 203148312 237006364 253935390 296257955 338580520 355509546 406296624 474012728 507870780 592515910 677161040 711019092 888773865 948025456 1015741560 1185031820 1422038184 1777547730 2031483120 2370063640 2844076368 3555095460 4740127280 7110190920 14220381840 28838595791 57677191582 86515787373 115354383164 144192978955 173031574746 201870170537 230708766328 288385957910 346063149492 403740341074 432578936865 461417532656 576771915820 605610511611 692126298984 807480682148 865157873730 1009350852685 1153543831640 1211221023222 1384252597968 1614961364296 1730315747460 2018701705370 2307087663280 2422442046444 3028052558055 3229922728592 3460631494920 4037403410740 4844884092888 6056105116110 6921262989840 8074806821480 9689768185776 12112210232220 16149613642960 24224420464440 48448840928880