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51165561552 = 2437719722111
BaseRepresentation
bin101111101001101101…
…001000001011010000
311220001211000211111020
4233221231020023100
51314241340432202
635301035315440
73460634045250
oct575155101320
9156054024436
1051165561552
111a776697766
129abb2abb80
134a95396c11
142695457960
1514e6d7b5bc
hexbe9b482d0

51165561552 has 160 divisors (see below), whose sum is σ = 154774093824. Its totient is φ = 14263603200.

The previous prime is 51165561547. The next prime is 51165561553. The reversal of 51165561552 is 25516556115.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51165561553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2302977 + ... + 2325087.

Almost surely, 251165561552 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 51165561552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77387046912).

51165561552 is an abundant number, since it is smaller than the sum of its proper divisors (103608532272).

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

51165561552 is a wasteful number, since it uses less digits than its factorization.

51165561552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22297 (or 22291 counting only the distinct ones).

The product of its digits is 225000, while the sum is 42.

The spelling of 51165561552 in words is "fifty-one billion, one hundred sixty-five million, five hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 97 112 142 168 194 213 284 291 336 388 426 497 568 582 679 776 852 994 1136 1164 1358 1491 1552 1704 1988 2037 2328 2716 2982 3408 3976 4074 4656 5432 5964 6887 7952 8148 10864 11928 13774 16296 20661 22111 23856 27548 32592 41322 44222 48209 55096 66333 82644 88444 96418 110192 132666 144627 154777 165288 176888 192836 265332 289254 309554 330576 353776 385672 464331 530664 578508 619108 771344 928662 1061328 1157016 1238216 1569881 1857324 2144767 2314032 2476432 3139762 3714648 4289534 4709643 6279524 6434301 7429296 8579068 9419286 10989167 12559048 12868602 15013369 17158136 18838572 21978334 25118096 25737204 30026738 32967501 34316272 37677144 43956668 45040107 51474408 60053476 65935002 75354288 87913336 90080214 102948816 120106952 131870004 152278457 175826672 180160428 240213904 263740008 304556914 360320856 456835371 527480016 609113828 720641712 913670742 1065949199 1218227656 1827341484 2131898398 2436455312 3197847597 3654682968 4263796796 6395695194 7309365936 8527593592 12791390388 17055187184 25582780776 51165561552