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21891811152552 = 23311254973137131
BaseRepresentation
bin1001111101001000101011…
…01000001001001010101000
32212111211120221220110110220
410332210111220021022220
510332133412123340202
6114320543104410040
74416426326343435
oct476442550111250
985454527813426
1021891811152552
116a802a074a500
122556943316920
13c2a5096445c3
145597d82a4b8c
1527e6c9c78abc
hex13e915a092a8

21891811152552 has 96 divisors (see below), whose sum is σ = 60158782652640. Its totient is φ = 6633713116800.

The previous prime is 21891811152529. The next prime is 21891811152569. The reversal of 21891811152552 is 25525111819812.

It is a happy number.

It is a super-2 number, since 2×218918111525522 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 21891811152495 and 21891811152504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159573027 + ... + 159710157.

It is an arithmetic number, because the mean of its divisors is an integer number (626653985965).

Almost surely, 221891811152552 is an apocalyptic number.

21891811152552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21891811152552 is an abundant number, since it is smaller than the sum of its proper divisors (38266971500088).

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

21891811152552 is a wasteful number, since it uses less digits than its factorization.

21891811152552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192135 (or 192120 counting only the distinct ones).

The product of its digits is 576000, while the sum is 51.

The spelling of 21891811152552 in words is "twenty-one trillion, eight hundred ninety-one billion, eight hundred eleven million, one hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 54973 109946 137131 164919 219892 274262 329838 411393 439784 548524 604703 659676 822786 1097048 1209406 1319352 1508441 1645572 1814109 2418812 3016882 3291144 3628218 4525323 4837624 6033764 6651733 7256436 9050646 12067528 13303466 14512872 16592851 18101292 19955199 26606932 33185702 36202584 39910398 49778553 53213864 66371404 79820796 99557106 132742808 159641592 199114212 398228424 7538502463 15077004926 22615507389 30154009852 45231014778 60308019704 82923527093 90462029556 165847054186 180924059112 248770581279 331694108372 497541162558 663388216744 912158798023 995082325116 1824317596046 1990164650232 2736476394069 3648635192092 5472952788138 7297270384184 10945905576276 21891811152552