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46352968320 = 273544354497
BaseRepresentation
bin101011001010110110…
…100010101010000000
311102122102021202200110
4223022312202222000
51224412324441240
633143320551320
73230445505221
oct531266425200
9142572252613
1046352968320
111872705118a
128b97622540
1344a9303609
14235a21b248
1513145e2c80
hexacada2a80

46352968320 has 128 divisors (see below), whose sum is σ = 148086325440. Its totient is φ = 12332662784.

The previous prime is 46352968313. The next prime is 46352968331. The reversal of 46352968320 is 2386925364.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46352968320.

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, 823312 + ... + 877808.

Almost surely, 246352968320 is an apocalyptic number.

46352968320 is a gapful number since it is divisible by the number (40) 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 46352968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74043162720).

46352968320 is an abundant number, since it is smaller than the sum of its proper divisors (101733357120).

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

46352968320 is a wasteful number, since it uses less digits than its factorization.

46352968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54962 (or 54950 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 46352968320 in words is "forty-six billion, three hundred fifty-two million, nine hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 443 480 640 886 960 1329 1772 1920 2215 2658 3544 4430 5316 6645 7088 8860 10632 13290 14176 17720 21264 26580 28352 35440 42528 53160 54497 56704 70880 85056 106320 108994 141760 163491 170112 212640 217988 272485 283520 326982 425280 435976 544970 653964 817455 850560 871952 1089940 1307928 1634910 1743904 2179880 2615856 3269820 3487808 4359760 5231712 6539640 6975616 8719520 10463424 13079280 17439040 20926848 24142171 26158560 34878080 48284342 52317120 72426513 96568684 104634240 120710855 144853026 193137368 241421710 289706052 362132565 386274736 482843420 579412104 724265130 772549472 965686840 1158824208 1448530260 1545098944 1931373680 2317648416 2897060520 3090197888 3862747360 4635296832 5794121040 7725494720 9270593664 11588242080 15450989440 23176484160 46352968320