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49221621432 = 23331741326941
BaseRepresentation
bin101101110101110101…
…100101011010111000
311201001100011102222000
4231311311211122320
51301301213341212
634340114101000
73361520610324
oct556565453270
9151040142860
1049221621432
111996935a785
12965827a760
13484571a2a9
14254d1d2984
15143138e1dc
hexb75d656b8

49221621432 has 128 divisors (see below), whose sum is σ = 148300891200. Its totient is φ = 15065395200.

The previous prime is 49221621419. The next prime is 49221621437. The reversal of 49221621432 is 23412612294.

It is a happy number.

49221621432 is a `hidden beast` number, since 4 + 9 + 2 + 21 + 621 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49221621437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12919 + ... + 314022.

Almost surely, 249221621432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49221621432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74150445600).

49221621432 is an abundant number, since it is smaller than the sum of its proper divisors (99079269768).

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

49221621432 is a wasteful number, since it uses less digits than its factorization.

49221621432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327014 (or 327004 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 49221621432 in words is "forty-nine billion, two hundred twenty-one million, six hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 41 51 54 68 72 82 102 108 123 136 153 164 204 216 246 306 328 369 408 459 492 612 697 738 918 984 1107 1224 1394 1476 1836 2091 2214 2788 2952 3672 4182 4428 5576 6273 8364 8856 12546 16728 18819 25092 37638 50184 75276 150552 326941 653882 980823 1307764 1961646 2615528 2942469 3923292 5557997 5884938 7846584 8827407 11115994 11769876 13404581 16673991 17654814 22231988 23539752 26809162 33347982 35309628 40213743 44463976 50021973 53618324 66695964 70619256 80427486 100043946 107236648 120641229 133391928 150065919 160854972 200087892 227877877 241282458 300131838 321709944 361923687 400175784 455755754 482564916 600263676 683633631 723847374 911511508 965129832 1200527352 1367267262 1447694748 1823023016 2050900893 2734534524 2895389496 4101801786 5469069048 6152702679 8203603572 12305405358 16407207144 24610810716 49221621432