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189977862272 = 2711294798993
BaseRepresentation
bin1011000011101110010…
…0000010000010000000
3200011100212212100010012
42300323210002002000
511103033313043042
6223135152524052
716503554120402
oct2607344020200
9604325770105
10189977862272
1173629606850
123099b250628
1314bb7b80573
1492a3038b72
154e1d691e82
hex2c3b902080

189977862272 has 128 divisors (see below), whose sum is σ = 436207161600. Its totient is φ = 81601085440.

The previous prime is 189977862223. The next prime is 189977862299. The reversal of 189977862272 is 272268779981.

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

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, 1869608 + ... + 1968600.

It is an arithmetic number, because the mean of its divisors is an integer number (3407868450).

Almost surely, 2189977862272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189977862272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218103580800).

189977862272 is an abundant number, since it is smaller than the sum of its proper divisors (246229299328).

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

189977862272 is a wasteful number, since it uses less digits than its factorization.

189977862272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99094 (or 99082 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 68.

The spelling of 189977862272 in words is "one hundred eighty-nine billion, nine hundred seventy-seven million, eight hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 47 58 64 88 94 116 128 176 188 232 319 352 376 464 517 638 704 752 928 1034 1276 1363 1408 1504 1856 2068 2552 2726 3008 3712 4136 5104 5452 6016 8272 10208 10904 14993 16544 20416 21808 29986 33088 40832 43616 59972 66176 87232 98993 119944 174464 197986 239888 395972 479776 791944 959552 1088923 1583888 1919104 2177846 2870797 3167776 4355692 4652671 5741594 6335552 8711384 9305342 11483188 12671104 17422768 18610684 22966376 31578767 34845536 37221368 45932752 51179381 63157534 69691072 74442736 91865504 102358762 126315068 134927459 139382144 148885472 183731008 204717524 252630136 269854918 297770944 367462016 409435048 505260272 539709836 595541888 818870096 1010520544 1079419672 1484202049 1637740192 2021041088 2158839344 2968404098 3275480384 4042082176 4317678688 5936808196 6550960768 8635357376 11873616392 17270714752 23747232784 47494465568 94988931136 189977862272