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11442532530 = 23511137137567
BaseRepresentation
bin10101010100000011…
…10011000010110010
31002112110010212202010
422222001303002302
5141413242020110
65131233103350
7553361631102
oct125201630262
932473125663
1011442532530
114942014060
1222740b7b56
13110480b410
147a7987202
1546e855020
hex2aa0730b2

11442532530 has 128 divisors (see below), whose sum is σ = 32718422016. Its totient is φ = 2524435200.

The previous prime is 11442532447. The next prime is 11442532559. The reversal of 11442532530 is 3523524411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285807 + ... + 323373.

It is an arithmetic number, because the mean of its divisors is an integer number (255612672).

Almost surely, 211442532530 is an apocalyptic number.

11442532530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11442532530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16359211008).

11442532530 is an abundant number, since it is smaller than the sum of its proper divisors (21275889486).

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

11442532530 is a wasteful number, since it uses less digits than its factorization.

11442532530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37672.

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 11442532530 in words is "eleven billion, four hundred forty-two million, five hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 71 78 110 130 142 143 165 195 213 286 330 355 390 426 429 710 715 781 858 923 1065 1430 1562 1846 2130 2145 2343 2769 3905 4290 4615 4686 5538 7810 9230 10153 11715 13845 20306 23430 27690 30459 37567 50765 60918 75134 101530 112701 152295 187835 225402 304590 375670 413237 488371 563505 826474 976742 1127010 1239711 1465113 2066185 2441855 2479422 2667257 2930226 4132370 4883710 5334514 5372081 6198555 7325565 8001771 10744162 12397110 13336285 14651130 16003542 16116243 26672570 26860405 29339827 32232486 34674341 40008855 53720810 58679654 69348682 80017710 80581215 88019481 104023023 146699135 161162430 173371705 176038962 208046046 293398270 346743410 381417751 440097405 520115115 762835502 880194810 1040230230 1144253253 1907088755 2288506506 3814177510 5721266265 11442532530