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61529912920 = 23575911293299
BaseRepresentation
bin111001010011011101…
…111111011001011000
312212211010101102201201
4321103131333121120
52002003124203140
644133315323544
74305524426140
oct712335773130
9185733342651
1061529912920
1124105039303
12bb122b05b4
135a576c38c8
142d99b41920
151901c0a49a
hexe5377f658

61529912920 has 128 divisors (see below), whose sum is σ = 161092800000. Its totient is φ = 20713761792.

The previous prime is 61529912849. The next prime is 61529912929. The reversal of 61529912920 is 2921992516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61529912929) 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, 18649431 + ... + 18652729.

It is an arithmetic number, because the mean of its divisors is an integer number (1258537500).

Almost surely, 261529912920 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 61529912920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80546400000).

61529912920 is an abundant number, since it is smaller than the sum of its proper divisors (99562887080).

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

61529912920 is a wasteful number, since it uses less digits than its factorization.

61529912920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The spelling of 61529912920 in words is "sixty-one billion, five hundred twenty-nine million, nine hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 413 472 590 826 1129 1180 1652 2065 2258 2360 3299 3304 4130 4516 5645 6598 7903 8260 9032 11290 13196 15806 16495 16520 22580 23093 26392 31612 32990 39515 45160 46186 63224 65980 66611 79030 92372 115465 131960 133222 158060 184744 194641 230930 266444 316120 333055 389282 461860 466277 532888 666110 778564 923720 932554 973205 1332220 1362487 1557128 1865108 1946410 2331385 2664440 2724974 3724571 3730216 3892820 4662770 5449948 6812435 7449142 7785640 9325540 10899896 13624870 14898284 18622855 18651080 26071997 27249740 29796568 37245710 52143994 54499480 74491420 104287988 130359985 148982840 208575976 219749689 260719970 439499378 521439940 878998756 1042879880 1098748445 1538247823 1757997512 2197496890 3076495646 4394993780 6152991292 7691239115 8789987560 12305982584 15382478230 30764956460 61529912920