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45400662252 = 223211313698327
BaseRepresentation
bin101010010010000101…
…110010000011101100
311100012001100121100100
4222102011302003230
51220440032143002
632505021431100
73165033155541
oct522205620354
9140161317310
1045400662252
1118288543580
12897070b490
134386c24cba
1422a9966bc8
1512aabd311c
hexa921720ec

45400662252 has 72 divisors (see below), whose sum is σ = 129234373632. Its totient is φ = 13313973600.

The previous prime is 45400662193. The next prime is 45400662253. The reversal of 45400662252 is 25226600454.

45400662252 is a `hidden beast` number, since 4 + 540 + 0 + 6 + 62 + 2 + 52 = 666.

It is a super-2 number, since 2×454006622522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45400662253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1836888 + ... + 1861439.

It is an arithmetic number, because the mean of its divisors is an integer number (1794921856).

Almost surely, 245400662252 is an apocalyptic number.

It is an amenable number.

45400662252 is an abundant number, since it is smaller than the sum of its proper divisors (83833711380).

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

45400662252 is a wasteful number, since it uses less digits than its factorization.

45400662252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698379 (or 3698374 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45400662252 in words is "forty-five billion, four hundred million, six hundred sixty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 12276 3698327 7396654 11094981 14793308 22189962 33284943 40681597 44379924 66569886 81363194 114648137 122044791 133139772 162726388 229296274 244089582 343944411 366134373 458592548 488179164 687888822 732268746 1031833233 1261129507 1375777644 1464537492 2063666466 2522259014 3783388521 4127332932 5044518028 7566777042 11350165563 15133554084 22700331126 45400662252