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100706397984 = 2534192044883
BaseRepresentation
bin101110111001010010…
…0011010111100100000
3100121221101212002010000
41131302210122330200
53122221314213414
6114132555340000
710163412154563
oct1356244327440
9317841762100
10100706397984
1139789155395
1217626451600
13965bc7c00a
144c34bc24da
152946272b09
hex177291af20

100706397984 has 120 divisors (see below), whose sum is σ = 311763014640. Its totient is φ = 31802004864.

The previous prime is 100706397853. The next prime is 100706398019. The reversal of 100706397984 is 489793607001.

It is a happy number.

100706397984 is a `hidden beast` number, since 100 + 70 + 6 + 397 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 100706397984.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 973194 + ... + 1071689.

It is an arithmetic number, because the mean of its divisors is an integer number (2598025122).

Almost surely, 2100706397984 is an apocalyptic number.

It is an amenable number.

100706397984 is an abundant number, since it is smaller than the sum of its proper divisors (211056616656).

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

100706397984 is a wasteful number, since it uses less digits than its factorization.

100706397984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044924 (or 2044907 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 100706397984 in words is "one hundred billion, seven hundred six million, three hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 12312 16416 24624 49248 2044883 4089766 6134649 8179532 12269298 16359064 18403947 24538596 32718128 36807894 38852777 49077192 55211841 65436256 73615788 77705554 98154384 110423682 116558331 147231576 155411108 165635523 196308768 220847364 233116662 294463152 310822216 331271046 349674993 441694728 466233324 588926304 621644432 662542092 699349986 883389456 932466648 1049024979 1243288864 1325084184 1398699972 1766778912 1864933296 2098049958 2650168368 2797399944 3147074937 3729866592 4196099916 5300336736 5594799888 6294149874 8392199832 11189599776 12588299748 16784399664 25176599496 33568799328 50353198992 100706397984