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216352711752152 = 2337471011031494907
BaseRepresentation
bin110001001100010110001010…
…100001111011100111011000
31001101001010011110210100021212
4301030112022201323213120
5211324210323202032102
62044051021430322252
763366652612632443
oct6114261241734730
91041033143710255
10216352711752152
1162a33740531648
12203227314b9388
139394c860b5481
143b5d7545c665a
151a02c6d0c5c52
hexc4c58a87b9d8

216352711752152 has 128 divisors (see below), whose sum is σ = 433874443991040. Its totient is φ = 101003024908800.

The previous prime is 216352711752113. The next prime is 216352711752157. The reversal of 216352711752152 is 251257117253612.

It is a super-2 number, since 2×2163527117521522 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216352711752152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216352711752157) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 143979083 + ... + 145473989.

It is an arithmetic number, because the mean of its divisors is an integer number (3389644093680).

Almost surely, 2216352711752152 is an apocalyptic number.

It is an amenable number.

216352711752152 is an abundant number, since it is smaller than the sum of its proper divisors (217521732238888).

216352711752152 is a wasteful number, since it uses less digits than its factorization.

216352711752152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495201 (or 1495197 counting only the distinct ones).

The product of its digits is 1764000, while the sum is 50.

The spelling of 216352711752152 in words is "two hundred sixteen trillion, three hundred fifty-two billion, seven hundred eleven million, seven hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 37 47 74 94 101 103 148 188 202 206 296 376 404 412 808 824 1739 3478 3737 3811 4747 4841 6956 7474 7622 9494 9682 10403 13912 14948 15244 18988 19364 20806 29896 30488 37976 38728 41612 83224 175639 179117 351278 358234 384911 488941 702556 716468 769822 977882 1405112 1432936 1494907 1539644 1955764 2989814 3079288 3911528 5979628 11959256 18090817 36181634 55311559 70260629 72363268 110623118 140521258 144726536 150985607 153975421 221246236 281042516 301971214 307950842 442492472 562085032 603942428 615901684 1207884856 1231803368 2599643273 5199286546 5586467459 5697090577 7096323529 7236844787 10398573092 11172934918 11394181154 14192647058 14473689574 15551517521 20797146184 22345869836 22788362308 28385294116 28947379148 31103035042 44691739672 45576724616 56770588232 57894758296 62206070084 124412140168 262563970573 267763257119 525127941146 535526514238 575406148277 730921323487 1050255882292 1071053028476 1150812296554 1461842646974 2100511764584 2142106056952 2301624593108 2923685293948 4603249186216 5847370587896 27044088969019 54088177938038 108176355876076 216352711752152