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1672094307072 = 2837361785991
BaseRepresentation
bin11000010101010000100…
…101100101001100000000
312220211222010102202001110
4120111100211211030000
5204343422120311242
63320052144003320
7231543025050150
oct30252045451400
95824863382043
101672094307072
11595149710452
12230091000540
13c18a7217237
145ad0350a760
152d7659d539c
hex18550965300

1672094307072 has 144 divisors (see below), whose sum is σ = 5087418803712. Its totient is φ = 477603594240.

The previous prime is 1672094307071. The next prime is 1672094307113. The reversal of 1672094307072 is 2707034902761.

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

It is not an unprimeable number, because it can be changed into a prime (1672094307071) 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, 19401997 + ... + 19487987.

It is an arithmetic number, because the mean of its divisors is an integer number (35329297248).

Almost surely, 21672094307072 is an apocalyptic number.

1672094307072 is a gapful number since it is divisible by the number (12) 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 1672094307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543709401856).

1672094307072 is an abundant number, since it is smaller than the sum of its proper divisors (3415324496640).

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

1672094307072 is an equidigital number, since it uses as much as digits as its factorization.

1672094307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89634 (or 89620 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 1672094307072 in words is "one trillion, six hundred seventy-two billion, ninety-four million, three hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 3617 5376 7234 10851 14468 21702 25319 28936 43404 50638 57872 75957 85991 86808 101276 115744 151914 171982 173616 202552 231488 257973 303828 343964 347232 405104 462976 515946 601937 607656 687928 694464 810208 925952 1031892 1203874 1215312 1375856 1388928 1620416 1805811 2063784 2407748 2430624 2751712 2777856 3240832 3611622 4127568 4815496 4861248 5503424 6481664 7223244 8255136 9630992 9722496 11006848 14446488 16510272 19261984 19444992 22013696 28892976 33020544 38523968 57785952 66041088 77047936 115571904 154095872 231143808 311029447 462287616 622058894 933088341 1244117788 1866176682 2177206129 2488235576 3732353364 4354412258 4976471152 6531618387 7464706728 8708824516 9952942304 13063236774 14929413456 17417649032 19905884608 26126473548 29858826912 34835298064 39811769216 52252947096 59717653824 69670596128 79623538432 104505894192 119435307648 139341192256 209011788384 238870615296 278682384512 418023576768 557364769024 836047153536 1672094307072