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9034060091328 = 263219825480637
BaseRepresentation
bin1000001101110110011111…
…1100010100111111000000
31011222122111011212201222100
42003131213330110333000
52141003223340410303
631114105004310400
71621455300525126
oct203354774247700
934878434781870
109034060091328
112973361449938
12101aa40542400
13506ba6455b9c
14233372447916
15109ee399a8a3
hex83767f14fc0

9034060091328 has 84 divisors (see below), whose sum is σ = 27257370666760. Its totient is φ = 2852861078016.

The previous prime is 9034060091323. The next prime is 9034060091333. The reversal of 9034060091328 is 8231900604309.

It is a happy number.

9034060091328 is a `hidden beast` number, since 9 + 0 + 3 + 4 + 0 + 600 + 9 + 1 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9034060091323) and next prime (9034060091333).

It is a super-2 number, since 2×90340600913282 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9034060091323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412729375 + ... + 412751262.

Almost surely, 29034060091328 is an apocalyptic number.

It is an amenable number.

9034060091328 is an abundant number, since it is smaller than the sum of its proper divisors (18223310575432).

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

9034060091328 is a wasteful number, since it uses less digits than its factorization.

9034060091328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825480674 (or 825480661 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 9034060091328 in words is "nine trillion, thirty-four billion, sixty million, ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 825480637 1650961274 2476441911 3301922548 4952883822 6603845096 7429325733 9905767644 13207690192 14858651466 15684132103 19811535288 26415380384 29717302932 31368264206 39623070576 47052396309 52830760768 59434605864 62736528412 79246141152 94104792618 118869211728 125473056824 141157188927 158492282304 188209585236 237738423456 250946113648 282314377854 376419170472 475476846912 501892227296 564628755708 752838340944 1003784454592 1129257511416 1505676681888 2258515022832 3011353363776 4517030045664 9034060091328