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5005596221172 = 223537208166883
BaseRepresentation
bin100100011010111010011…
…0010001101111011110100
3122201112022121101121200000
41020311310302031323310
51124002430113034142
614351312242551300
71024433224566561
oct110656462157364
918645277347600
105005596221172
11165a952631338
1268a150068530
132a40445c7741
141343b4ac9868
158a318b9b14c
hex48d74c8def4

5005596221172 has 144 divisors (see below), whose sum is σ = 13482982898112. Its totient is φ = 1622632227840.

The previous prime is 5005596221137. The next prime is 5005596221183. The reversal of 5005596221172 is 2711226955005.

5005596221172 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 5 + 9 + 622 + 1 + 17 + 2 = 666.

It is a super-2 number, since 2×50055962211722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74807643 + ... + 74874525.

Almost surely, 25005596221172 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 5005596221172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741491449056).

5005596221172 is an abundant number, since it is smaller than the sum of its proper divisors (8477386676940).

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

5005596221172 is a wasteful number, since it uses less digits than its factorization.

5005596221172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69020 (or 69006 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 5005596221172 in words is "five trillion, five billion, five hundred ninety-six million, two hundred twenty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 972 999 1332 1998 2081 2997 3996 4162 5994 6243 8324 8991 11988 12486 17982 18729 24972 35964 37458 56187 66883 74916 76997 112374 133766 153994 168561 200649 224748 230991 267532 307988 337122 401298 461982 505683 601947 674244 692973 802596 923964 1011366 1203894 1385946 1805841 2022732 2078919 2407788 2474671 2771892 3611682 4157838 4949342 5417523 6236757 7223364 7424013 8315676 9898684 10835046 12473514 14848026 16252569 18710271 21670092 22272039 24947028 29696052 32505138 37420542 44544078 65010276 66816117 74841084 89088156 133632234 139183523 200448351 267264468 278367046 400896702 417550569 556734092 601345053 801793404 835101138 1202690106 1252651707 1670202276 2405380212 2505303414 3757955121 5010606828 5149790351 7515910242 10299580702 11273865363 15031820484 15449371053 20599161404 22547730726 30898742106 33821596089 45095461452 46348113159 61797484212 67643192178 92696226318 135286384356 139044339477 185392452636 278088678954 417133018431 556177357908 834266036862 1251399055293 1668532073724 2502798110586 5005596221172