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1138996948644 = 223421122812
BaseRepresentation
bin10000100100110001100…
…000100010111010100100
311000212221122201000110000
4100210301200202322210
5122130131204324034
62231125321301300
7145201256215242
oct20446140427244
94025848630400
101138996948644
113aa0560a1775
121648b3934830
138353a0c2809
143d1b0771792
151e9643a2599
hex10931822ea4

1138996948644 has 135 divisors (see below), whose sum is σ = 3002426219793. Its totient is φ = 376521566400.

The previous prime is 1138996948543. The next prime is 1138996948667. The reversal of 1138996948644 is 4468496998311.

The square root of 1138996948644 is 1067238.

It is a perfect power (a square), and thus also a powerful number.

1138996948644 is a `hidden beast` number, since 1 + 1 + 3 + 89 + 9 + 69 + 486 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 769721966244 + 369274982400 = 877338^2 + 607680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4053369784 + ... + 4053370064.

Almost surely, 21138996948644 is an apocalyptic number.

1138996948644 is the 1067238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138996948644

1138996948644 is an abundant number, since it is smaller than the sum of its proper divisors (1863429271149).

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

1138996948644 is an frugal number, since it uses more digits than its factorization.

1138996948644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 497 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 1138996948644 in words is "one trillion, one hundred thirty-eight billion, nine hundred ninety-six million, nine hundred forty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 281 324 422 562 633 843 844 1124 1266 1686 1899 2529 2532 3372 3798 5058 5697 7587 7596 10116 11394 15174 17091 22761 22788 30348 34182 44521 45522 59291 68364 78961 89042 91044 118582 133563 157922 177873 178084 236883 237164 267126 315844 355746 400689 473766 533619 534252 710649 711492 801378 947532 1067238 1202067 1421298 1600857 1602756 2131947 2134476 2404134 2842596 3201714 3606201 4263894 4802571 4808268 6395841 6403428 7212402 8527788 9605142 12510401 12791682 14424804 16660771 19210284 25020802 25583364 33321542 37531203 49982313 50041604 66643084 75062406 99964626 112593609 149946939 150124812 199929252 225187218 299893878 337780827 449840817 450374436 599787756 675561654 899681634 1013342481 1349522451 1351123308 1799363268 2026684962 2699044902 3515422681 4053369924 5398089804 7030845362 10546268043 14061690724 21092536086 31638804129 42185072172 63277608258 94916412387 126555216516 189832824774 284749237161 379665649548 569498474322 1138996948644