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61432999923416 = 231117297537187877
BaseRepresentation
bin11011111011111011111000…
…01000110100111011011000
322001111221022101120010002212
431331331330020310323120
531023004240440022131
6334353533000014252
715640250002340642
oct1575757410647330
9261457271503085
1061432999923416
11186356529a1280
126a82163461388
132838151205b64
141125531973892
1571802edb7a2b
hex37df7c234ed8

61432999923416 has 128 divisors (see below), whose sum is σ = 137657008180800. Its totient is φ = 25371736965120.

The previous prime is 61432999923413. The next prime is 61432999923437.

61432999923416 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61432999923413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326891270 + ... + 327079146.

Almost surely, 261432999923416 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 61432999923416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68828504090400).

61432999923416 is an abundant number, since it is smaller than the sum of its proper divisors (76224008257384).

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

61432999923416 is a wasteful number, since it uses less digits than its factorization.

61432999923416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195477 (or 195473 counting only the distinct ones).

The product of its digits is 136048896, while the sum is 68.

The spelling of 61432999923416 in words is "sixty-one trillion, four hundred thirty-two billion, nine hundred ninety-nine million, nine hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 319 374 493 638 748 986 1276 1496 1972 2552 3944 5423 7537 10846 15074 21692 30148 43384 60296 82907 128129 165814 187877 218573 256258 331628 375754 437146 512516 663256 751508 874292 1025032 1409419 1503016 1748584 2066647 2404303 2818838 3193909 3715741 4133294 4808606 5448433 5637676 6387818 7431482 8266588 9617212 10896866 11275352 12775636 14862964 16533176 19234424 21793732 25551272 29725928 35132999 40873151 43587464 59932763 70265998 81746302 92623361 119865526 140531996 163492604 185246722 239731052 281063992 326985208 370493444 479462104 740986888 1018856971 1416028949 2037713942 2832057898 4075427884 5664115796 8150855768 11328231592 15576318439 24072492133 31152636878 41064839521 48144984266 62305273756 82129679042 96289968532 124610547512 164259358084 192579937064 264797413463 328518716168 451713234731 529594826926 698102271857 903426469462 1059189653852 1396204543714 1806852938924 2118379307704 2792409087428 3613705877848 5584818174856 7679124990427 15358249980854 30716499961708 61432999923416