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46970134080 = 2635192575117
BaseRepresentation
bin101011101111101000…
…110101111001000000
311111020102121000221120
4223233220311321000
51232143323242310
633324444552240
73251651360262
oct535750657100
9144212530846
1046970134080
1118a13463a31
12912a252680
13457712c55c
1423b8191b32
15134d8a1b70
hexaefa35e40

46970134080 has 112 divisors (see below), whose sum is σ = 156979193280. Its totient is φ = 11866134528.

The previous prime is 46970134073. The next prime is 46970134103. The reversal of 46970134080 is 8043107964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1269319 + ... + 1305798.

It is an arithmetic number, because the mean of its divisors is an integer number (1401599940).

Almost surely, 246970134080 is an apocalyptic number.

46970134080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46970134080 is an abundant number, since it is smaller than the sum of its proper divisors (110009059200).

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

46970134080 is a wasteful number, since it uses less digits than its factorization.

46970134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575156 (or 2575146 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 46970134080 in words is "forty-six billion, nine hundred seventy million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 2575117 5150234 7725351 10300468 12875585 15450702 20600936 25751170 30901404 38626755 41201872 48927223 51502340 61802808 77253510 82403744 97854446 103004680 123605616 146781669 154507020 164807488 195708892 206009360 244636115 247211232 293563338 309014040 391417784 412018720 489272230 494422464 587126676 618028080 733908345 782835568 824037440 978544460 1174253352 1236056160 1467816690 1565671136 1957088920 2348506704 2472112320 2935633380 3131342272 3914177840 4697013408 5871266760 7828355680 9394026816 11742533520 15656711360 23485067040 46970134080