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97839700464 = 24311653283771
BaseRepresentation
bin101101100011110110…
…0110101100111110000
3100100112121122202101210
41123013230311213300
53100333430403324
6112540312200120
710032362506062
oct1330754654760
9310477582353
1097839700464
1138547a62090
1216b66399040
1392c309b4ac
144a42199732
152829760d29
hex16c7b359f0

97839700464 has 80 divisors (see below), whose sum is σ = 276153289344. Its totient is φ = 29602886400.

The previous prime is 97839700457. The next prime is 97839700487. The reversal of 97839700464 is 46400793879.

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, 202899 + ... + 486669.

Almost surely, 297839700464 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 97839700464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138076644672).

97839700464 is an abundant number, since it is smaller than the sum of its proper divisors (178313588880).

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

97839700464 is a wasteful number, since it uses less digits than its factorization.

97839700464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284446 (or 284440 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 97839700464 in words is "ninety-seven billion, eight hundred thirty-nine million, seven hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 653 1306 1959 2612 3918 5224 7183 7836 10448 14366 15672 21549 28732 31344 43098 57464 86196 114928 172392 283771 344784 567542 851313 1135084 1702626 2270168 3121481 3405252 4540336 6242962 6810504 9364443 12485924 13621008 18728886 24971848 37457772 49943696 74915544 149831088 185302463 370604926 555907389 741209852 1111814778 1482419704 2038327093 2223629556 2964839408 4076654186 4447259112 6114981279 8153308372 8894518224 12229962558 16306616744 24459925116 32613233488 48919850232 97839700464