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146104642464 = 25311212577879
BaseRepresentation
bin1000100000010010000…
…0111110101110100000
3111222010021122211220020
42020010200332232200
54343210242024324
6151041453313440
713361415653514
oct2100440765640
9458107584806
10146104642464
1156a65297400
1224396195880
1310a15538681
1471002ba144
153c01b29679
hex220483eba0

146104642464 has 72 divisors (see below), whose sum is σ = 421560226080. Its totient is φ = 44274130560.

The previous prime is 146104642447. The next prime is 146104642471. The reversal of 146104642464 is 464246401641.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6277324 + ... + 6300555.

It is an arithmetic number, because the mean of its divisors is an integer number (5855003140).

Almost surely, 2146104642464 is an apocalyptic number.

It is an amenable number.

146104642464 is an abundant number, since it is smaller than the sum of its proper divisors (275455583616).

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

146104642464 is a wasteful number, since it uses less digits than its factorization.

146104642464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12577914 (or 12577895 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 146104642464 in words is "one hundred forty-six billion, one hundred four million, six hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 12577879 25155758 37733637 50311516 75467274 100623032 138356669 150934548 201246064 276713338 301869096 402492128 415070007 553426676 603738192 830140014 1106853352 1207476384 1521923359 1660280028 2213706704 3043846718 3320560056 4427413408 4565770077 6087693436 6641120112 9131540154 12175386872 13282240224 18263080308 24350773744 36526160616 48701547488 73052321232 146104642464