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48080778912 = 25324713192693
BaseRepresentation
bin101100110001110101…
…100111011010100000
311121002211110122020100
4230301311213122200
51241432134411122
634031001542400
73321325606665
oct546165473240
9147084418210
1048080778912
1119433389921
12939a1a4a00
1346c326944a
1424818a1a6c
1513b613baac
hexb31d676a0

48080778912 has 144 divisors (see below), whose sum is σ = 139796616960. Its totient is φ = 15668215296.

The previous prime is 48080778827. The next prime is 48080778929. The reversal of 48080778912 is 21987708084.

It is a happy number.

48080778912 is a `hidden beast` number, since 480 + 8 + 0 + 7 + 78 + 91 + 2 = 666.

48080778912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×480807789123 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17852638 + ... + 17855330.

It is an arithmetic number, because the mean of its divisors is an integer number (970809840).

Almost surely, 248080778912 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 48080778912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69898308480).

48080778912 is an abundant number, since it is smaller than the sum of its proper divisors (91715838048).

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

48080778912 is a wasteful number, since it uses less digits than its factorization.

48080778912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 48080778912 in words is "forty-eight billion, eighty million, seven hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1319 1504 1692 2256 2638 2693 3384 3957 4512 5276 5386 6768 7914 8079 10552 10772 11871 13536 15828 16158 21104 21544 23742 24237 31656 32316 42208 43088 47484 48474 61993 63312 64632 86176 94968 96948 123986 126571 126624 129264 185979 189936 193896 247972 253142 258528 371958 379713 379872 387792 495944 506284 557937 743916 759426 775584 991888 1012568 1115874 1139139 1487832 1518852 1983776 2025136 2231748 2278278 2975664 3037704 3552067 4050272 4463496 4556556 5951328 6075408 7104134 8926992 9113112 10656201 12150816 14208268 17853984 18226224 21312402 28416536 31968603 36452448 42624804 56833072 63937206 85249608 113666144 127874412 166947149 170499216 255748824 333894298 340998432 500841447 511497648 667788596 1001682894 1022995296 1335577192 1502524341 2003365788 2671154384 3005048682 4006731576 5342308768 6010097364 8013463152 12020194728 16026926304 24040389456 48080778912