Search a number
-
+
189057262801452 = 223193182873227747
BaseRepresentation
bin101010111111001001010010…
…111111011101001000101100
3220210101200211201001002111020
4222333021102333131020230
5144240003233234121302
61510031412454254140
754551636133653163
oct5277112277351054
9823350751032436
10189057262801452
115526a80a158741
1219254692957350
13816503c4b5bc6
1434985c55c83da
1516ccc2eba5ebc
hexabf252fdd22c

189057262801452 has 96 divisors (see below), whose sum is σ = 479388231598080. Its totient is φ = 57769423248960.

The previous prime is 189057262801369. The next prime is 189057262801457. The reversal of 189057262801452 is 254108262750981.

It is a super-2 number, since 2×1890572628014522 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189057262801457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56958643 + ... + 60186389.

It is an arithmetic number, because the mean of its divisors is an integer number (4993627412480).

Almost surely, 2189057262801452 is an apocalyptic number.

189057262801452 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 189057262801452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239694115799040).

189057262801452 is an abundant number, since it is smaller than the sum of its proper divisors (290330968796628).

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

189057262801452 is a wasteful number, since it uses less digits than its factorization.

189057262801452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236091 (or 3236089 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 189057262801452 in words is "one hundred eighty-nine trillion, fifty-seven billion, two hundred sixty-two million, eight hundred one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2356 3534 7068 8287 16574 24861 33148 49722 99444 157453 256897 314906 472359 513794 629812 770691 944718 1027588 1541382 1889436 3082764 3227747 4881043 6455494 9683241 9762086 12910988 14643129 19366482 19524172 29286258 38732964 58572516 61327193 100060157 122654386 183981579 200120314 245308772 300180471 367963158 400240628 600360942 735926316 1200721884 1901142983 3802285966 5703428949 7604571932 11406857898 22813715796 26748339389 53496678778 80245018167 106993357556 160490036334 320980072668 508218448391 829198521059 1016436896782 1524655345173 1658397042118 2032873793564 2487595563177 3049310690346 3316794084236 4975191126354 6098621380692 9950382252708 15754771900121 31509543800242 47264315700363 63019087600484 94528631400726 189057262801452