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55501011006 = 23727317914447
BaseRepresentation
bin110011101100000111…
…100011100000111110
312022020221221111002020
4303230013203200332
51402131224323011
641255151141010
74003236544500
oct635407434076
9168227844066
1055501011006
11215a0968041
12a90b214766
13530664891c
14298716bd70
15169c7b4006
hexcec1e383e

55501011006 has 96 divisors (see below), whose sum is σ = 131633994240. Its totient is φ = 15551754624.

The previous prime is 55501010969. The next prime is 55501011023. The reversal of 55501011006 is 60011010555.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3834475 + ... + 3848921.

It is an arithmetic number, because the mean of its divisors is an integer number (1371187440).

Almost surely, 255501011006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55501011006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65816997120).

55501011006 is an abundant number, since it is smaller than the sum of its proper divisors (76132983234).

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

55501011006 is a wasteful number, since it uses less digits than its factorization.

55501011006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14718 (or 14711 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 55501011006 in words is "fifty-five billion, five hundred one million, eleven thousand, six".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 179 219 294 358 438 511 537 1022 1074 1253 1533 2506 3066 3577 3759 7154 7518 8771 10731 13067 14447 17542 21462 26134 26313 28894 39201 43341 52626 78402 86682 91469 101129 182938 202258 274407 303387 548814 606774 640283 707903 1054631 1280566 1415806 1920849 2109262 2123709 2586013 3163893 3841698 4247418 5172026 6327786 7382417 7758039 14764834 15516078 18102091 22147251 36204182 44294502 51676919 54306273 103353838 108612546 126714637 155030757 188778949 253429274 310061514 377557898 380143911 566336847 760287822 1132673694 1321452643 2642905286 3964357929 7928715858 9250168501 18500337002 27750505503 55501011006