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98982765408 = 25319232359429
BaseRepresentation
bin101110000101111010…
…1010010001101100000
3100110111021112110201110
41130023311102031200
53110204041443113
6113245544103320
710102612423662
oct1341365221540
9313437473643
1098982765408
1138a8421075a
1217225164b40
139445b49a97
144b0dd08532
152894ca1bc3
hex170bd52360

98982765408 has 96 divisors (see below), whose sum is σ = 285396652800. Its totient is φ = 29898671616.

The previous prime is 98982765347. The next prime is 98982765433. The reversal of 98982765408 is 80456728989.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×989827654082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137763 + ... + 1221666.

It is an arithmetic number, because the mean of its divisors is an integer number (2972881800).

Almost surely, 298982765408 is an apocalyptic number.

It is an amenable number.

98982765408 is an abundant number, since it is smaller than the sum of its proper divisors (186413887392).

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

98982765408 is a wasteful number, since it uses less digits than its factorization.

98982765408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359484 (or 2359476 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 98982765408 in words is "ninety-eight billion, nine hundred eighty-two million, seven hundred sixty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 552 608 736 874 912 1104 1311 1748 1824 2208 2622 3496 5244 6992 10488 13984 20976 41952 2359429 4718858 7078287 9437716 14156574 18875432 28313148 37750864 44829151 54266867 56626296 75501728 89658302 108533734 113252592 134487453 162800601 179316604 217067468 226505184 268974906 325601202 358633208 434134936 537949812 651202404 717266416 868269872 1031070473 1075899624 1302404808 1434532832 1736539744 2062140946 2151799248 2604809616 3093211419 4124281892 4303598496 5209619232 6186422838 8248563784 12372845676 16497127568 24745691352 32994255136 49491382704 98982765408