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100289163869216 = 2572731994402831
BaseRepresentation
bin10110110011011001100011…
…111111001011110000100000
3111011002112212021011002002122
4112303121203333023300200
5101121114201422303331
6553144112244003412
730060436654364600
oct2663314377136040
9434075767132078
10100289163869216
1129a5643951aa93
12b2b8866090568
1343c62c5c93b3a
141aaa042b3cc00
15b8db409ad17b
hex5b3663fcbc20

100289163869216 has 144 divisors (see below), whose sum is σ = 233996431737600. Its totient is φ = 42179252290560.

The previous prime is 100289163869177. The next prime is 100289163869221. The reversal of 100289163869216 is 612968361982001.

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, 20576921 + ... + 24979751.

It is an arithmetic number, because the mean of its divisors is an integer number (1624975220400).

Almost surely, 2100289163869216 is an apocalyptic number.

100289163869216 is a gapful number since it is divisible by the number (16) 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 100289163869216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116998215868800).

100289163869216 is an abundant number, since it is smaller than the sum of its proper divisors (133707267868384).

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

100289163869216 is a wasteful number, since it uses less digits than its factorization.

100289163869216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403127 (or 4403112 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 62.

The spelling of 100289163869216 in words is "one hundred trillion, two hundred eighty-nine billion, one hundred sixty-three million, eight hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 199 224 292 392 398 511 584 784 796 1022 1168 1393 1568 1592 2044 2336 2786 3184 3577 4088 5572 6368 7154 8176 9751 11144 14308 14527 16352 19502 22288 28616 29054 39004 44576 57232 58108 78008 101689 114464 116216 156016 203378 232432 312032 406756 464864 711823 813512 1423646 1627024 2847292 3254048 4402831 5694584 8805662 11389168 17611324 22778336 30819817 35222648 61639634 70445296 123279268 140890592 215738719 246558536 321406663 431477438 493117072 642813326 862954876 876163369 986234144 1285626652 1725909752 1752326738 2249846641 2571253304 3451819504 3504653476 4499693282 5142506608 6133143583 6903639008 7009306952 8999386564 10285013216 12266287166 14018613904 15748926487 17998773128 24532574332 28037227808 31497852974 35997546256 42932005081 49065148664 62995705948 63959925937 71995092512 85864010162 98130297328 125991411896 127919851874 171728020324 196260594656 251982823792 255839703748 343456040648 447719481559 503965647584 511679407496 686912081296 895438963118 1023358814992 1373824162592 1790877926236 2046717629984 3134036370913 3581755852472 6268072741826 7163511704944 12536145483652 14327023409888 25072290967304 50144581934608 100289163869216