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55862971152 = 24343199277491
BaseRepresentation
bin110100000001101100…
…010100101100010000
312100012012000222001120
4310001230110230100
51403401410034102
641355121202240
74015223264052
oct640154245420
9170165028046
1055862971152
112176721105a
12a9b0490380
13536362b921
1429bd26d8d2
1516be4616bc
hexd01b14b10

55862971152 has 160 divisors (see below), whose sum is σ = 149249971200. Its totient is φ = 17994493440.

The previous prime is 55862971127. The next prime is 55862971183. The reversal of 55862971152 is 25117926855.

It is a junction number, because it is equal to n+sod(n) for n = 55862971095 and 55862971104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113773627 + ... + 113774117.

It is an arithmetic number, because the mean of its divisors is an integer number (932812320).

Almost surely, 255862971152 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 55862971152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74624985600).

55862971152 is an abundant number, since it is smaller than the sum of its proper divisors (93387000048).

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

55862971152 is a wasteful number, since it uses less digits than its factorization.

55862971152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1015 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 51.

The spelling of 55862971152 in words is "fifty-five billion, eight hundred sixty-two million, nine hundred seventy-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 199 258 277 344 398 491 516 554 597 688 796 831 982 1032 1108 1194 1473 1592 1662 1964 2064 2216 2388 2946 3184 3324 3928 4432 4776 5892 6648 7856 8557 9552 11784 11911 13296 17114 21113 23568 23822 25671 34228 35733 42226 47644 51342 55123 63339 68456 71466 84452 95288 97709 102684 110246 126678 136007 136912 142932 165369 168904 190576 195418 205368 220492 253356 272014 285864 293127 330738 337808 390836 408021 410736 440984 506712 544028 571728 586254 661476 781672 816042 881968 1013424 1088056 1172508 1322952 1563344 1632084 2176112 2345016 2370289 2645904 3264168 4201487 4690032 4740578 5848301 6528336 7110867 8402974 9481156 11696602 12604461 14221734 16805948 17544903 18962312 23393204 25208922 27065393 28443468 33611896 35089806 37924624 46786408 50417844 54130786 56886936 67223792 70179612 81196179 93572816 100835688 108261572 113773872 140359224 162392358 201671376 216523144 280718448 324784716 433046288 649569432 1163811899 1299138864 2327623798 3491435697 4655247596 6982871394 9310495192 13965742788 18620990384 27931485576 55862971152