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55861053012 = 2232311071313571
BaseRepresentation
bin110100000001100101…
…000000011001010100
312100012001102111212100
4310001211000121110
51403400412144022
641355012122100
74015201054602
oct640145003124
9170161374770
1055861053012
1121766120a16
12a9ab906330
13536310982b
1429bccd0872
1516be1d31ac
hexd01940654

55861053012 has 144 divisors (see below), whose sum is σ = 148286121984. Its totient is φ = 17710056000.

The previous prime is 55861053011. The next prime is 55861053029. The reversal of 55861053012 is 21035016855.

It is a happy number.

55861053012 is a `hidden beast` number, since 5 + 5 + 8 + 610 + 5 + 30 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55861053011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15641187 + ... + 15644757.

It is an arithmetic number, because the mean of its divisors is an integer number (1029764736).

Almost surely, 255861053012 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 55861053012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74143060992).

55861053012 is an abundant number, since it is smaller than the sum of its proper divisors (92425068972).

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

55861053012 is a wasteful number, since it uses less digits than its factorization.

55861053012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 55861053012 its reverse (21035016855), we get a palindrome (76896069867).

The spelling of 55861053012 in words is "fifty-five billion, eight hundred sixty-one million, fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 107 124 131 186 214 262 279 321 372 393 428 524 558 642 786 963 1116 1179 1284 1572 1926 2358 3317 3571 3852 4061 4716 6634 7142 8122 9951 10713 12183 13268 14017 14284 16244 19902 21426 24366 28034 29853 32139 36549 39804 42051 42852 48732 56068 59706 64278 73098 84102 110701 119412 126153 128556 146196 168204 221402 252306 332103 382097 434527 442804 467801 504612 664206 764194 869054 935602 996309 1146291 1303581 1328412 1403403 1528388 1738108 1871204 1992618 2292582 2607162 2806806 3438873 3910743 3985236 4210209 4585164 5214324 5613612 6877746 7821486 8420418 11845007 13755492 14501831 15642972 16840836 23690014 29003662 35535021 43505493 47380028 50054707 58007324 71070042 87010986 100109414 106605063 130516479 142140084 150164121 174021972 200218828 213210126 261032958 300328242 426420252 450492363 522065916 600656484 900984726 1551695917 1801969452 3103391834 4655087751 6206783668 9310175502 13965263253 18620351004 27930526506 55861053012