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45690956740 = 225111335944501
BaseRepresentation
bin101010100011011001…
…001010101111000100
311100221021121002112001
4222203121022233010
51222033341103430
632553511435044
73205156503262
oct524331125704
9140837532461
1045690956740
1118417399080
128a31985a84
1344021052a0
1422d6331432
1512c64263ca
hexaa364abc4

45690956740 has 96 divisors (see below), whose sum is σ = 113042200320. Its totient is φ = 15293760000.

The previous prime is 45690956737. The next prime is 45690956771. The reversal of 45690956740 is 4765909654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004490 + ... + 1048990.

It is an arithmetic number, because the mean of its divisors is an integer number (1177522920).

Almost surely, 245690956740 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 45690956740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56521100160).

45690956740 is an abundant number, since it is smaller than the sum of its proper divisors (67351243580).

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

45690956740 is a wasteful number, since it uses less digits than its factorization.

45690956740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44893 (or 44891 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 45690956740 in words is "forty-five billion, six hundred ninety million, nine hundred fifty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 359 572 715 718 1430 1436 1795 2860 3590 3949 4667 7180 7898 9334 15796 18668 19745 23335 39490 44501 46670 51337 78980 89002 93340 102674 178004 205348 222505 256685 445010 489511 513370 578513 890020 979022 1026740 1157026 1958044 2314052 2447555 2892565 4895110 5785130 6363643 9790220 11570260 12727286 15975859 25454572 31818215 31951718 63636430 63903436 79879295 127272860 159758590 175734449 207686167 319517180 351468898 415372334 702937796 830744668 878672245 1038430835 1757344490 2076861670 2284547837 3514688980 4153723340 4569095674 9138191348 11422739185 22845478370 45690956740