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102591468696 = 233193137319457
BaseRepresentation
bin101111110001011101…
…1011001010010011000
3100210210202221120222210
41133202323121102120
53140101403444241
6115044015115120
710261212044553
oct1374273312230
9323722846883
10102591468696
113a566233972
1217a71812aa0
13989c686482
144d732c169a
152a069d2316
hex17e2ed9498

102591468696 has 128 divisors (see below), whose sum is σ = 279448012800. Its totient is φ = 31266570240.

The previous prime is 102591468691. The next prime is 102591468713. The reversal of 102591468696 is 696864195201.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102591468691) 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, 5263000 + ... + 5282456.

It is an arithmetic number, because the mean of its divisors is an integer number (2183187600).

Almost surely, 2102591468696 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 102591468696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139724006400).

102591468696 is an abundant number, since it is smaller than the sum of its proper divisors (176856544104).

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

102591468696 is a wasteful number, since it uses less digits than its factorization.

102591468696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19889 (or 19885 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 102591468696 in words is "one hundred two billion, five hundred ninety-one million, four hundred sixty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 373 456 589 744 746 1119 1178 1492 1767 2238 2356 2984 3534 4476 4712 7068 7087 8952 11563 14136 14174 19457 21261 23126 28348 34689 38914 42522 46252 56696 58371 69378 77828 85044 92504 116742 138756 155656 170088 219697 233484 277512 369683 439394 466968 603167 659091 739366 878788 1109049 1206334 1318182 1478732 1757576 1809501 2218098 2412668 2636364 2957464 3619002 4436196 4825336 5272728 7238004 7257461 8872392 11460173 14476008 14514922 21772383 22920346 29029844 34380519 43544766 45840692 58059688 68761038 87089532 91681384 137522076 137891759 174179064 224981291 275044152 275783518 413675277 449962582 551567036 674943873 827350554 899925164 1103134072 1349887746 1654701108 1799850328 2699775492 3309402216 4274644529 5399550984 8549289058 12823933587 17098578116 25647867174 34197156232 51295734348 102591468696