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11380964028 = 22372711312081
BaseRepresentation
bin10101001100101101…
…11011101010111100
31002101011021212122020
422212112323222330
5141302011322103
65121153320140
7552013412100
oct124626735274
932334255566
1011380964028
1149102917a5
122257566050
1310c4b32555
1479d71b900
15469242753
hex2a65bbabc

11380964028 has 144 divisors (see below), whose sum is σ = 31580575488. Its totient is φ = 3179904000.

The previous prime is 11380964017. The next prime is 11380964039. The reversal of 11380964028 is 82046908311.

It is an interprime number because it is at equal distance from previous prime (11380964017) and next prime (11380964039).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5467948 + ... + 5470028.

It is an arithmetic number, because the mean of its divisors is an integer number (219309552).

Almost surely, 211380964028 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 11380964028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15790287744).

11380964028 is an abundant number, since it is smaller than the sum of its proper divisors (20199611460).

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

11380964028 is a wasteful number, since it uses less digits than its factorization.

11380964028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 11380964028 in words is "eleven billion, three hundred eighty million, nine hundred sixty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 131 142 147 196 213 262 284 294 393 426 497 524 588 786 852 917 994 1491 1572 1834 1988 2081 2751 2982 3479 3668 4162 5502 5964 6243 6419 6958 8324 9301 10437 11004 12486 12838 13916 14567 18602 19257 20874 24972 25676 27903 29134 37204 38514 41748 43701 55806 58268 65107 77028 87402 101969 111612 130214 147751 174804 195321 203938 260428 272611 295502 305907 390642 407876 443253 455749 545222 591004 611814 781284 817833 886506 911498 1034257 1090444 1223628 1367247 1635666 1773012 1822996 1908277 2068514 2734494 3102771 3271332 3816554 4137028 5468988 5724831 6205542 7239799 7633108 11449662 12411084 13357939 14479598 19355381 21719397 22899324 26715878 28959196 38710762 40073817 43438794 53431756 58066143 77421524 80147634 86877588 116132286 135487667 160295268 232264572 270975334 406463001 541950668 812926002 948413669 1625852004 1896827338 2845241007 3793654676 5690482014 11380964028