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55201225662 = 232114321311151
BaseRepresentation
bin110011011010001111…
…111101101110111110
312021111001211210220100
4303122033331232332
51401023003210122
641205321501530
73662636450652
oct633217755676
9167431753810
1055201225662
112145771a960
12a8469418a6
1352894c474b
142959412a62
1516812e8aac
hexcda3fdbbe

55201225662 has 144 divisors (see below), whose sum is σ = 134717147136. Its totient is φ = 16199820000.

The previous prime is 55201225643. The next prime is 55201225679. The reversal of 55201225662 is 26652210255.

55201225662 is a `hidden beast` number, since 5 + 520 + 1 + 22 + 56 + 62 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47958787 + ... + 47959937.

It is an arithmetic number, because the mean of its divisors is an integer number (935535744).

Almost surely, 255201225662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55201225662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67358573568).

55201225662 is an abundant number, since it is smaller than the sum of its proper divisors (79515921474).

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

55201225662 is a wasteful number, since it uses less digits than its factorization.

55201225662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 55201225662 in words is "fifty-five billion, two hundred one million, two hundred twenty-five thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 131 198 258 262 387 393 473 774 786 946 1151 1179 1419 1441 1849 2302 2358 2838 2882 3453 3698 4257 4323 5547 5633 6906 8514 8646 10359 11094 11266 12661 12969 16641 16899 20339 20718 25322 25938 33282 33798 37983 40678 49493 50697 61017 61963 75966 98986 101394 113949 122034 123926 148479 150781 183051 185889 227898 242219 296958 301562 366102 371778 445437 452343 484438 544423 557667 726657 890874 904686 1088846 1115334 1357029 1453314 1633269 1658591 2128199 2179971 2664409 2714058 3266538 3317182 4256398 4359942 4899807 4975773 5328818 6384597 6483583 7993227 9799614 9951546 12769194 12967166 14927319 15986454 19153791 19450749 23410189 23979681 29854638 38307582 38901498 46820378 47959362 58352247 70230567 71319413 116704494 140461134 142638826 210691701 213958239 278794069 421383402 427916478 557588138 641874717 836382207 1283749434 1672764414 2509146621 3066734759 5018293242 6133469518 9200204277 18400408554 27600612831 55201225662