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36980937136 = 241113233122669
BaseRepresentation
bin100010011100001111…
…000101000110110000
310112110021011020211101
4202130033011012300
51101214104442021
624553325454144
72446264531153
oct423417050660
9115407136741
1036980937136
1114757858470
127200a11354
133644755330
141b0b641c9a
15e66929a91
hex89c3c51b0

36980937136 has 160 divisors (see below), whose sum is σ = 90674196480. Its totient is φ = 14362444800.

The previous prime is 36980937127. The next prime is 36980937137. The reversal of 36980937136 is 63173908963.

It is a super-2 number, since 2×369809371362 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36980937137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1620010 + ... + 1642678.

It is an arithmetic number, because the mean of its divisors is an integer number (566713728).

Almost surely, 236980937136 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 36980937136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45337098240).

36980937136 is an abundant number, since it is smaller than the sum of its proper divisors (53693259344).

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

36980937136 is a wasteful number, since it uses less digits than its factorization.

36980937136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22755 (or 22749 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 55.

The spelling of 36980937136 in words is "thirty-six billion, nine hundred eighty million, nine hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 23 26 31 44 46 52 62 88 92 104 124 143 176 184 208 248 253 286 299 341 368 403 496 506 572 598 682 713 806 1012 1144 1196 1364 1426 1612 2024 2288 2392 2728 2852 3224 3289 4048 4433 4784 5456 5704 6448 6578 7843 8866 9269 11408 13156 15686 17732 18538 22669 26312 31372 35464 37076 45338 52624 62744 70928 74152 90676 101959 125488 148304 181352 203918 249359 294697 362704 407836 498718 521387 589394 702739 815672 997436 1042774 1178788 1405478 1631344 1994872 2085548 2357576 2810956 3241667 3989744 4171096 4715152 5621912 5735257 6483334 6778031 7730129 8342192 9135607 11243824 11470514 12966668 13556062 15460258 16162997 18271214 22941028 25933336 27112124 30920516 32325994 36542428 45882056 51866672 54224248 61841032 64651988 73084856 74558341 91764112 100491677 108448496 123682064 129303976 146169712 149116682 177792967 200983354 210118961 258607952 298233364 355585934 401966708 420237922 596466728 711171868 803933416 840475844 1192933456 1422343736 1607866832 1680951688 2311308571 2844687472 3361903376 4622617142 9245234284 18490468568 36980937136