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212978186976 = 25331233307147
BaseRepresentation
bin1100011001011001111…
…1010011101011100000
3202100201211000220010010
43012112133103223200
511442134403440401
6241501341404520
721246540501552
oct3062637235340
9670654026103
10212978186976
11823616a8165
1235339b69740
1317112024459
14a4459ad4d2
155817a17ed6
hex31967d3ae0

212978186976 has 96 divisors (see below), whose sum is σ = 579580904448. Its totient is φ = 68407557120.

The previous prime is 212978186951. The next prime is 212978186983. The reversal of 212978186976 is 679681879212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539835 + ... + 846981.

It is an arithmetic number, because the mean of its divisors is an integer number (6037301088).

Almost surely, 2212978186976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212978186976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289790452224).

212978186976 is an abundant number, since it is smaller than the sum of its proper divisors (366602717472).

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

212978186976 is a wasteful number, since it uses less digits than its factorization.

212978186976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307424 (or 307416 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 66.

The spelling of 212978186976 in words is "two hundred twelve billion, nine hundred seventy-eight million, one hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 233 248 372 466 496 699 744 932 992 1398 1488 1864 2796 2976 3728 5592 7223 7456 11184 14446 21669 22368 28892 43338 57784 86676 115568 173352 231136 307147 346704 614294 693408 921441 1228588 1842882 2457176 3685764 4914352 7371528 9521557 9828704 14743056 19043114 28564671 29486112 38086228 57129342 71565251 76172456 114258684 143130502 152344912 214695753 228517368 286261004 304689824 429391506 457034736 572522008 858783012 914069472 1145044016 1717566024 2218522781 2290088032 3435132048 4437045562 6655568343 6870264096 8874091124 13311136686 17748182248 26622273372 35496364496 53244546744 70992728992 106489093488 212978186976