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121651673796 = 223821532
BaseRepresentation
bin111000101001100000…
…0010011101011000100
3102122000010002100000000
41301103000103223010
53443120312030141
6131515213321300
711534433110622
oct1612300235304
9378003070000
10121651673796
1147657220094
121b6b0a96230
13b619443343
145c6084c512
15326eeb05b6
hex1c53013ac4

121651673796 has 81 divisors (see below), whose sum is σ = 319467802381. Its totient is φ = 40531723488.

The previous prime is 121651673791. The next prime is 121651673797. The reversal of 121651673796 is 697376156121.

The square root of 121651673796 is 348786.

It is a perfect power (a square), and thus also a powerful number.

121651673796 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 516 + 7 + 37 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8981352900 + 112670320896 = 94770^2 + 335664^2 .

It is a tau number, because it is divible by the number of its divisors (81).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121651673791) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56502256 + ... + 56504408.

Almost surely, 2121651673796 is an apocalyptic number.

121651673796 is the 348786-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121651673796

121651673796 is an abundant number, since it is smaller than the sum of its proper divisors (197816128585).

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

121651673796 is an frugal number, since it uses more digits than its factorization.

121651673796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 2158 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 121651673796 in words is "one hundred twenty-one billion, six hundred fifty-one million, six hundred seventy-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2153 2187 2916 4306 4374 6459 6561 8612 8748 12918 13122 19377 25836 26244 38754 58131 77508 116262 174393 232524 348786 523179 697572 1046358 1569537 2092716 3139074 4635409 4708611 6278148 9270818 9417222 13906227 14125833 18541636 18834444 27812454 28251666 41718681 55624908 56503332 83437362 125156043 166874724 250312086 375468129 500624172 750936258 1126404387 1501872516 2252808774 3379213161 4505617548 6758426322 10137639483 13516852644 20275278966 30412918449 40550557932 60825836898 121651673796