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1001437200764 = 2271113673732973
BaseRepresentation
bin11101001001010100100…
…11110000000101111100
310112201212212202210021222
432210222103300011330
5112401420410411024
62044015350412512
7132231355520510
oct16445223600574
93481785683258
101001437200764
11356786213120
12142103361138
1373586c709b0
1436681280140
151b0b2a0885e
hexe92a4f017c

1001437200764 has 96 divisors (see below), whose sum is σ = 2388147718656. Its totient is φ = 354781658880.

The previous prime is 1001437200749. The next prime is 1001437200773. The reversal of 1001437200764 is 4670027341001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598219 + ... + 2134754.

It is an arithmetic number, because the mean of its divisors is an integer number (24876538736).

Almost surely, 21001437200764 is an apocalyptic number.

1001437200764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1001437200764 is an abundant number, since it is smaller than the sum of its proper divisors (1386710517892).

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

1001437200764 is a wasteful number, since it uses less digits than its factorization.

1001437200764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733075 (or 3733073 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 1001437200764 in words is "one trillion, one billion, four hundred thirty-seven million, two hundred thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 67 77 91 134 143 154 182 268 286 308 364 469 572 737 871 938 1001 1474 1742 1876 2002 2948 3484 4004 5159 6097 9581 10318 12194 19162 20636 24388 38324 67067 134134 268268 3732973 7465946 14931892 26130811 41062703 48528649 52261622 82125406 97057298 104523244 164250812 194114596 250109191 287438921 339700543 500218382 533815139 574877842 679401086 1000436764 1067630278 1149755684 1358802172 1750764337 2135260556 2751201101 3251419483 3501528674 3736705973 5502402202 6502838966 7003057348 7473411946 11004804404 13005677932 14946823892 19258407707 22759936381 35765614313 38516815414 45519872762 71531228626 77033630828 91039745524 143062457252 250359300191 500718600382 1001437200764