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50616997632 = 283313753453
BaseRepresentation
bin101111001001000000…
…100001011100000000
311211122120210220021000
4233021000201130000
51312130422411012
635130401532000
73441223244445
oct571100413400
9154576726230
1050616997632
111a514a80553
129987644000
134a0883a296
14264265d9cc
1514b3b1dddc
hexbc9021700

50616997632 has 144 divisors (see below), whose sum is σ = 150778766880. Its totient is φ = 16748863488.

The previous prime is 50616997609. The next prime is 50616997637. The reversal of 50616997632 is 23679961605.

50616997632 is a `hidden beast` number, since 506 + 1 + 69 + 9 + 76 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50616997637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920218 + ... + 973670.

It is an arithmetic number, because the mean of its divisors is an integer number (1047074770).

Almost surely, 250616997632 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 50616997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75389383440).

50616997632 is an abundant number, since it is smaller than the sum of its proper divisors (100161769248).

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

50616997632 is a wasteful number, since it uses less digits than its factorization.

50616997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53615 (or 53595 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 50616997632 in words is "fifty billion, six hundred sixteen million, nine hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 137 144 192 216 256 274 288 384 411 432 548 576 768 822 864 1096 1152 1233 1644 1728 2192 2304 2466 3288 3456 3699 4384 4932 6576 6912 7398 8768 9864 13152 14796 17536 19728 26304 29592 35072 39456 52608 53453 59184 78912 105216 106906 118368 157824 160359 213812 236736 315648 320718 427624 473472 481077 641436 855248 946944 962154 1282872 1443231 1710496 1924308 2565744 2886462 3420992 3848616 5131488 5772924 6841984 7323061 7697232 10262976 11545848 13683968 14646122 15394464 20525952 21969183 23091696 29292244 30788928 41051904 43938366 46183392 58584488 61577856 65907549 87876732 92366784 117168976 123155712 131815098 175753464 184733568 197722647 234337952 263630196 351506928 369467136 395445294 468675904 527260392 703013856 790890588 937351808 1054520784 1406027712 1581781176 1874703616 2109041568 2812055424 3163562352 4218083136 5624110848 6327124704 8436166272 12654249408 16872332544 25308498816 50616997632