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102900694896 = 24332941919603
BaseRepresentation
bin101111111010101011…
…0111111111101110000
3100211121022210220121000
41133311112333331300
53141220034214041
6115134423002000
710301655321636
oct1376526777560
9324538726530
10102900694896
113a70483a10a
1217b39299300
13991b76485c
144da23b7356
152a23c14bb6
hex17f55bff70

102900694896 has 160 divisors (see below), whose sum is σ = 306292896000. Its totient is φ = 33036740352.

The previous prime is 102900694877. The next prime is 102900694903. The reversal of 102900694896 is 698496009201.

102900694896 is a `hidden beast` number, since 10 + 2 + 90 + 0 + 69 + 489 + 6 = 666.

102900694896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5239431 + ... + 5259033.

It is an arithmetic number, because the mean of its divisors is an integer number (1914330600).

Almost surely, 2102900694896 is an apocalyptic number.

102900694896 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 102900694896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153146448000).

102900694896 is an abundant number, since it is smaller than the sum of its proper divisors (203392201104).

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

102900694896 is a wasteful number, since it uses less digits than its factorization.

102900694896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20068 (or 20056 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 102900694896 in words is "one hundred two billion, nine hundred million, six hundred ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 419 432 464 522 696 783 838 1044 1257 1392 1566 1676 2088 2514 3132 3352 3771 4176 5028 6264 6704 7542 10056 11313 12151 12528 15084 19603 20112 22626 24302 30168 36453 39206 45252 48604 58809 60336 72906 78412 90504 97208 109359 117618 145812 156824 176427 181008 194416 218718 235236 291624 313648 328077 352854 437436 470472 529281 568487 583248 656154 705708 874872 940944 1058562 1136974 1312308 1411416 1705461 1749744 2117124 2273948 2624616 2822832 3410922 4234248 4547896 5116383 5249232 6821844 8213657 8468496 9095792 10232766 13643688 15349149 16427314 20465532 24640971 27287376 30698298 32854628 40931064 49281942 61396596 65709256 73922913 81862128 98563884 122793192 131418512 147845826 197127768 221768739 238196053 245586384 295691652 394255536 443537478 476392106 591383304 714588159 887074956 952784212 1182766608 1429176318 1774149912 1905568424 2143764477 2858352636 3548299824 3811136848 4287528954 5716705272 6431293431 8575057908 11433410544 12862586862 17150115816 25725173724 34300231632 51450347448 102900694896