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61690059907204 = 2229219127092
BaseRepresentation
bin11100000011011010101100…
…00110110110000010000100
322002102111211100021022022011
432001231112012312002010
531041212220314012304
6335112004451344004
715664650123215551
oct1601552606660204
9262374740238264
1061690059907204
1118724675619873
126b03b442b2004
132856469b40441
141133b59c77a28
1571ea778e8c04
hex381b561b6084

61690059907204 has 81 divisors (see below), whose sum is σ = 112555852097871. Its totient is φ = 29583699741120.

The previous prime is 61690059907163. The next prime is 61690059907219. The reversal of 61690059907204 is 40270995009616.

The square root of 61690059907204 is 7854302.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8789457948804 + 52900601958400 = 2964702^2 + 7273280^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 87009957202 + ... + 87009957910.

Almost surely, 261690059907204 is an apocalyptic number.

61690059907204 is the 7854302-nd square number.

It is an amenable number.

61690059907204 is a deficient number, since it is larger than the sum of its proper divisors (50865792190667).

61690059907204 is an frugal number, since it uses more digits than its factorization.

61690059907204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 61690059907204 in words is "sixty-one trillion, six hundred ninety billion, fifty-nine million, nine hundred seven thousand, two hundred four".

Divisors: 1 2 4 29 58 116 191 382 709 764 841 1418 1682 2836 3364 5539 11078 20561 22156 36481 41122 72962 82244 135419 145924 160631 270838 321262 502681 541676 596269 642524 1005362 1057949 1192538 2010724 2115898 2385076 3927151 4231796 7854302 14577749 15708604 25865029 29155498 30680521 51730058 58310996 61361042 96012071 103460116 113887379 122722084 192024142 227774758 384048284 422754721 455549516 750085841 845509442 1500171682 1691018884 2784350059 3000343364 5568700118 11137400236 18338305561 21752489389 36676611122 43504978778 73353222244 80746151711 87009957556 161492303422 322984606844 531810861269 1063621722538 2127243445076 15422514976801 30845029953602 61690059907204