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742046284087632 = 24325153099195053
BaseRepresentation
bin1010100010111000110001110…
…1001010111000000101010000
310121022100221011101122211102100
42220232030131022320011100
51234230141242211301012
611150111205025120400
7312205034446320306
oct25056143512700520
93538327141584370
10742046284087632
111a5491075296067
126b28565b189100
1325b08883718a94
14d135336016276
155abc4d7bc08dc
hex2a2e31d2b8150

742046284087632 has 30 divisors (see below), whose sum is σ = 2076698975606762. Its totient is φ = 247348761362496.

The previous prime is 742046284087631. The next prime is 742046284087679. The reversal of 742046284087632 is 236780482640247.

It is a happy number.

742046284087632 is a `hidden beast` number, since 7 + 4 + 20 + 462 + 8 + 40 + 87 + 6 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 462588730031376 + 279457554056256 = 21507876^2 + 16716984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 742046284087632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742046284087631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2576549597383 + ... + 2576549597670.

Almost surely, 2742046284087632 is an apocalyptic number.

742046284087632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

742046284087632 is an abundant number, since it is smaller than the sum of its proper divisors (1334652691519130).

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

742046284087632 is a wasteful number, since it uses less digits than its factorization.

742046284087632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153099195067 (or 5153099195058 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 63.

The spelling of 742046284087632 in words is "seven hundred forty-two trillion, forty-six billion, two hundred eighty-four million, eighty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5153099195053 10306198390106 15459297585159 20612396780212 30918595170318 41224793560424 46377892755477 61837190340636 82449587120848 92755785510954 123674380681272 185511571021908 247348761362544 371023142043816 742046284087632