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45397191400 = 235211212714771
BaseRepresentation
bin101010010001111000…
…100010101011101000
311100011210211021020021
4222101320202223220
51220433140111100
632504415210224
73164661521461
oct522170425350
9140153737207
1045397191400
1118286592900
12896b516974
1343862ab242
1422a9301d68
1512aa749a1a
hexa91e22ae8

45397191400 has 144 divisors (see below), whose sum is σ = 116937515520. Its totient is φ = 16376976000.

The previous prime is 45397191373. The next prime is 45397191401. The reversal of 45397191400 is 419179354.

It is not an unprimeable number, because it can be changed into a prime (45397191401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3066015 + ... + 3080785.

It is an arithmetic number, because the mean of its divisors is an integer number (812066080).

Almost surely, 245397191400 is an apocalyptic number.

45397191400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45397191400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58468757760).

45397191400 is an abundant number, since it is smaller than the sum of its proper divisors (71540324120).

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

45397191400 is a wasteful number, since it uses less digits than its factorization.

45397191400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14936 (or 14916 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 45397191400 in words is "forty-five billion, three hundred ninety-seven million, one hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 127 200 220 242 254 275 440 484 508 550 605 635 968 1016 1100 1210 1270 1397 2200 2420 2540 2794 3025 3175 4840 5080 5588 6050 6350 6985 11176 12100 12700 13970 14771 15367 24200 25400 27940 29542 30734 34925 55880 59084 61468 69850 73855 76835 118168 122936 139700 147710 153670 162481 279400 295420 307340 324962 369275 384175 590840 614680 649924 738550 768350 812405 1299848 1477100 1536700 1624810 1787291 1875917 2954200 3073400 3249620 3574582 3751834 4062025 6499240 7149164 7503668 8124050 8936455 9379585 14298328 15007336 16248100 17872910 18759170 20635087 32496200 35745820 37518340 41270174 44682275 46897925 71491640 75036680 82540348 89364550 93795850 103175435 165080696 178729100 187591700 206350870 226985957 357458200 375183400 412701740 453971914 515877175 825403480 907943828 1031754350 1134929785 1815887656 2063508700 2269859570 4127017400 4539719140 5674648925 9079438280 11349297850 22698595700 45397191400