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155116460210016 = 25350323811349147
BaseRepresentation
bin100011010001001111011101…
…100000100111011101100000
3202100012222200211000120100110
4203101033131200213131200
5130312412002303210031
61305523303523051320
744446536326026524
oct4321173540473540
9670188624016313
10155116460210016
1145474580a02278
1215492738810b40
13687255b658b46
142a43968d4dd84
1512dee05e89c46
hex8d13dd827760

155116460210016 has 96 divisors (see below), whose sum is σ = 408161867436288. Its totient is φ = 51580981598720.

The previous prime is 155116460209973. The next prime is 155116460210029. The reversal of 155116460210016 is 610012064611551.

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

It is a super-2 number, since 2×1551164602100162 (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114299155 + ... + 115648301.

It is an arithmetic number, because the mean of its divisors is an integer number (4251686119128).

Almost surely, 2155116460210016 is an apocalyptic number.

155116460210016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

155116460210016 is an abundant number, since it is smaller than the sum of its proper divisors (253045407226272).

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

155116460210016 is a wasteful number, since it uses less digits than its factorization.

155116460210016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352044 (or 1352036 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 155116460210016 in words is "one hundred fifty-five trillion, one hundred sixteen billion, four hundred sixty million, two hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 503 1006 1509 2012 2381 3018 4024 4762 6036 7143 8048 9524 12072 14286 16096 19048 24144 28572 38096 48288 57144 76192 114288 228576 1197643 1349147 2395286 2698294 3592929 4047441 4790572 5396588 7185858 8094882 9581144 10793176 14371716 16189764 19162288 21586352 28743432 32379528 38324576 43172704 57486864 64759056 114973728 129518112 678620941 1357241882 2035862823 2714483764 3212319007 4071725646 5428967528 6424638014 8143451292 9636957021 10857935056 12849276028 16286902584 19273914042 21715870112 25698552056 32573805168 38547828084 51397104112 65147610336 77095656168 102794208224 154191312336 308382624672 1615796460521 3231592921042 4847389381563 6463185842084 9694778763126 12926371684168 19389557526252 25852743368336 38779115052504 51705486736672 77558230105008 155116460210016