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428361396372 = 22327131127911593
BaseRepresentation
bin1100011101111000101…
…01000011000010010100
31111221200020112120202200
412032330111003002110
524004241004140442
6524441515204500
742643123535550
oct6167425030224
91457606476680
10428361396372
11155737928258
126b029446730
13315183a25a0
1416a38b48860
15b22174a34c
hex63bc543094

428361396372 has 144 divisors (see below), whose sum is σ = 1332913021440. Its totient is φ = 112954673664.

The previous prime is 428361396371. The next prime is 428361396373. The reversal of 428361396372 is 273693163824.

428361396372 is a `hidden beast` number, since 428 + 3 + 61 + 3 + 96 + 3 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (428361396371) and next prime (428361396373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428361396371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36944208 + ... + 36955800.

Almost surely, 2428361396372 is an apocalyptic number.

428361396372 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

428361396372 is an abundant number, since it is smaller than the sum of its proper divisors (904551625068).

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

428361396372 is a wasteful number, since it uses less digits than its factorization.

428361396372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902 (or 22897 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 428361396372 in words is "four hundred twenty-eight billion, three hundred sixty-one million, three hundred ninety-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 11279 11593 22558 23186 33837 34779 45116 46372 67674 69558 78953 81151 101511 104337 135348 139116 146627 150709 157906 162302 203022 208674 236859 243453 293254 301418 315812 324604 406044 417348 439881 452127 473718 486906 586508 602836 710577 730359 879762 904254 947436 973812 1026389 1054963 1319643 1356381 1421154 1460718 1759524 1808508 2052778 2109926 2639286 2712762 2842308 2921436 3079167 3164889 4105556 4219852 5278572 5425524 6158334 6329778 9237501 9494667 12316668 12659556 18475002 18989334 36950004 37978668 130757447 261514894 392272341 523029788 784544682 915302129 1176817023 1569089364 1699846811 1830604258 2353634046 2745906387 3399693622 3661208516 4707268092 5099540433 5491812774 6799387244 8237719161 10199080866 10983625548 11898927677 15298621299 16475438322 20398161732 23797855354 30597242598 32950876644 35696783031 47595710708 61194485196 71393566062 107090349093 142787132124 214180698186 428361396372