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51247949040 = 24325181393247
BaseRepresentation
bin101111101110100111…
…011010010011110000
311220021120001112212200
4233232213122103300
51314423433332130
635313141223200
73462654244101
oct575647322360
9156246045780
1051247949040
111a8091496a2
129b22a01b00
134aa9481c02
1426a23823a8
1514ee202760
hexbee9da4f0

51247949040 has 120 divisors (see below), whose sum is σ = 173059006848. Its totient is φ = 13590581760.

The previous prime is 51247949003. The next prime is 51247949047. The reversal of 51247949040 is 4094974215.

51247949040 is a `hidden beast` number, since 51 + 2 + 4 + 79 + 490 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51247949047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66304 + ... + 326943.

Almost surely, 251247949040 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 51247949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86529503424).

51247949040 is an abundant number, since it is smaller than the sum of its proper divisors (121811057808).

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

51247949040 is a wasteful number, since it uses less digits than its factorization.

51247949040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393447 (or 393438 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 51247949040 in words is "fifty-one billion, two hundred forty-seven million, nine hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 181 240 360 362 543 720 724 905 1086 1448 1629 1810 2172 2715 2896 3258 3620 4344 5430 6516 7240 8145 8688 10860 13032 14480 16290 21720 26064 32580 43440 65160 130320 393247 786494 1179741 1572988 1966235 2359482 3145976 3539223 3932470 4718964 5898705 6291952 7078446 7864940 9437928 11797410 14156892 15729880 17696115 18875856 23594820 28313784 31459760 35392230 47189640 56627568 70784460 71177707 94379280 141568920 142355414 213533121 283137840 284710828 355888535 427066242 569421656 640599363 711777070 854132484 1067665605 1138843312 1281198726 1423554140 1708264968 2135331210 2562397452 2847108280 3202996815 3416529936 4270662420 5124794904 5694216560 6405993630 8541324840 10249589808 12811987260 17082649680 25623974520 51247949040