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45034742472 = 233113191227383
BaseRepresentation
bin101001111100010001…
…111010001011001000
311022020112210221202220
4221330101322023020
51214212343224342
632404430454040
73153000665166
oct517421721310
9138215727686
1045034742472
111810aa35635
12888a064320
134329186915
142273114236
151288a025ec
hexa7c47a2c8

45034742472 has 128 divisors (see below), whose sum is σ = 114980290560. Its totient is φ = 14697159680.

The previous prime is 45034742471. The next prime is 45034742479. The reversal of 45034742472 is 27424743054.

It is not an unprimeable number, because it can be changed into a prime (45034742471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117583993 + ... + 117584375.

It is an arithmetic number, because the mean of its divisors is an integer number (898283520).

Almost surely, 245034742472 is an apocalyptic number.

It is an amenable number.

45034742472 is an abundant number, since it is smaller than the sum of its proper divisors (69945548088).

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

45034742472 is a wasteful number, since it uses less digits than its factorization.

45034742472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 42.

The spelling of 45034742472 in words is "forty-five billion, thirty-four million, seven hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 113 191 226 227 339 382 383 452 454 573 678 681 764 766 904 908 1146 1149 1356 1362 1528 1532 1816 2292 2298 2712 2724 3064 4584 4596 5448 9192 21583 25651 43166 43279 43357 51302 64749 73153 76953 86332 86558 86714 86941 102604 129498 129837 130071 146306 153906 172664 173116 173428 173882 205208 219459 258996 259674 260142 260823 292612 307812 346232 346856 347764 438918 517992 519348 520284 521646 585224 615624 695528 877836 1038696 1040568 1043292 1755672 2086584 4899341 8266289 9798682 9824333 14698023 16532578 16605731 19597364 19648666 24798867 29396046 29472999 33065156 33211462 39194728 39297332 49597734 49817193 58792092 58945998 66130312 66422924 78594664 99195468 99634386 117584184 117891996 132845848 198390936 199268772 235783992 398537544 1876447603 3752895206 5629342809 7505790412 11258685618 15011580824 22517371236 45034742472