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46259011968 = 2731343215503
BaseRepresentation
bin101011000101010000…
…001000000110000000
311102101212111021210120
4223011100020012000
51224214301340333
633130123100240
73225225054051
oct530520100600
9142355437716
1046259011968
1118689008404
128b70071680
1344929c7940
14234b960728
15130b233db3
hexac5408180

46259011968 has 128 divisors (see below), whose sum is σ = 135405473280. Its totient is φ = 13902465024.

The previous prime is 46259011949. The next prime is 46259011973. The reversal of 46259011968 is 86911095264.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 46259011968.

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, 106905 + ... + 322407.

It is an arithmetic number, because the mean of its divisors is an integer number (1057855260).

Almost surely, 246259011968 is an apocalyptic number.

46259011968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46259011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67702736640).

46259011968 is an abundant number, since it is smaller than the sum of its proper divisors (89146461312).

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

46259011968 is a wasteful number, since it uses less digits than its factorization.

46259011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215576 (or 215564 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 46259011968 in words is "forty-six billion, two hundred fifty-nine million, eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 258 312 344 384 416 516 559 624 688 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3354 4128 4472 4992 5504 6708 8256 8944 13416 16512 17888 26832 35776 53664 71552 107328 214656 215503 431006 646509 862012 1293018 1724024 2586036 2801539 3448048 5172072 5603078 6896096 8404617 9266629 10344144 11206156 13792192 16809234 18533258 20688288 22412312 27584384 27799887 33618468 37066516 41376576 44824624 55599774 67236936 74133032 82753152 89649248 111199548 120466177 134473872 148266064 179298496 222399096 240932354 268947744 296532128 358596992 361398531 444798192 481864708 537895488 593064256 722797062 889596384 963729416 1075790976 1186128512 1445594124 1779192768 1927458832 2891188248 3558385536 3854917664 5782376496 7709835328 11564752992 15419670656 23129505984 46259011968