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48067465001472 = 29337496728929
BaseRepresentation
bin10101110110111100101000…
…01011010011101000000000
320022012012112021121120211000
422323132110023103220000
522300014132020021342
6250121515533252000
713060521410106330
oct1273362413235000
9208165467546730
1048067465001472
111435232a971474
125483968934000
1320a8986371927
14bc2698c0d0c0
1558552995244c
hex2bb7942d3a00

48067465001472 has 160 divisors (see below), whose sum is σ = 162609182524800. Its totient is φ = 13733561401344.

The previous prime is 48067465001443. The next prime is 48067465001477. The reversal of 48067465001472 is 27410056476084.

48067465001472 is a `hidden beast` number, since 4 + 8 + 0 + 67 + 4 + 6 + 500 + 1 + 4 + 72 = 666.

It is a super-3 number, since 3×480674650014723 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48067465001477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248267697 + ... + 248461232.

It is an arithmetic number, because the mean of its divisors is an integer number (1016307390780).

Almost surely, 248067465001472 is an apocalyptic number.

48067465001472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48067465001472 is an abundant number, since it is smaller than the sum of its proper divisors (114541717523328).

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

48067465001472 is an equidigital number, since it uses as much as digits as its factorization.

48067465001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496728963 (or 496728941 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 48067465001472 in words is "forty-eight trillion, sixty-seven billion, four hundred sixty-five million, one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 96768 496728929 993457858 1490186787 1986915716 2980373574 3477102503 3973831432 4470560361 5960747148 6954205006 7947662864 8941120722 10431307509 11921494296 13411681083 13908410012 15895325728 17882241444 20862615018 23842988592 26823362166 27816820024 31293922527 31790651456 35764482888 41725230036 47685977184 53646724332 55633640048 62587845054 63581302912 71528965776 83450460072 93881767581 95371954368 107293448664 111267280096 125175690108 127162605824 143057931552 166900920144 187763535162 190743908736 214586897328 222534560192 250351380216 254325211648 286115863104 333801840288 375527070324 381487817472 429173794656 445069120384 500702760432 572231726208 667603680576 751054140648 762975634944 858347589312 890138240768 1001405520864 1144463452416 1335207361152 1502108281296 1716695178624 1780276481536 2002811041728 2288926904832 2670414722304 3004216562592 3433390357248 4005622083456 5340829444608 6008433125184 6866780714496 8011244166912 12016866250368 16022488333824 24033732500736 48067465001472