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46002070464 = 263788138851
BaseRepresentation
bin101010110101111011…
…111110001111000000
311101201222000022022120
4222311323332033000
51223203012223324
633044424004240
73215655101340
oct526573761700
9141658008276
1046002070464
1118566a73459
128aba000680
1344516c484c
142325798d20
1512e38cd179
hexab5efe3c0

46002070464 has 112 divisors (see below), whose sum is σ = 139262973696. Its totient is φ = 13128192000.

The previous prime is 46002070451. The next prime is 46002070481. The reversal of 46002070464 is 46407020064.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1164639 + ... + 1203489.

It is an arithmetic number, because the mean of its divisors is an integer number (1243419408).

Almost surely, 246002070464 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 46002070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69631486848).

46002070464 is an abundant number, since it is smaller than the sum of its proper divisors (93260903232).

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

46002070464 is a wasteful number, since it uses less digits than its factorization.

46002070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39754 (or 39744 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 46002070464 in words is "forty-six billion, two million, seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 881 1344 1762 2643 3524 5286 6167 7048 10572 12334 14096 18501 21144 24668 28192 37002 38851 42288 49336 56384 74004 77702 84576 98672 116553 148008 155404 169152 197344 233106 271957 296016 310808 394688 466212 543914 592032 621616 815871 932424 1087828 1184064 1243232 1631742 1864848 2175656 2486464 3263484 3729696 4351312 6526968 7459392 8702624 13053936 17405248 26107872 34227731 52215744 68455462 102683193 136910924 205366386 239594117 273821848 410732772 479188234 547643696 718782351 821465544 958376468 1095287392 1437564702 1642931088 1916752936 2190574784 2875129404 3285862176 3833505872 5750258808 6571724352 7667011744 11500517616 15334023488 23001035232 46002070464