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45674807100 = 223521397120737
BaseRepresentation
bin101010100010011011…
…100011111100111100
311100220011012121101020
4222202123203330330
51222020222311400
632552133344140
73204602311626
oct524233437474
9140804177336
1045674807100
111840926866a
128a28498050
1343cb96c5a0
1422d4129c16
1512c4cd62a0
hexaa26e3f3c

45674807100 has 144 divisors (see below), whose sum is σ = 143786401248. Its totient is φ = 11127029760.

The previous prime is 45674807083. The next prime is 45674807159. The reversal of 45674807100 is 170847654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317932 + ... + 438668.

Almost surely, 245674807100 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 45674807100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71893200624).

45674807100 is an abundant number, since it is smaller than the sum of its proper divisors (98111594148).

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

45674807100 is a wasteful number, since it uses less digits than its factorization.

45674807100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120864 (or 120857 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 45674807100 in words is "forty-five billion, six hundred seventy-four million, eight hundred seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 97 100 130 150 156 194 195 260 291 300 325 388 390 485 582 650 780 970 975 1164 1261 1300 1455 1940 1950 2425 2522 2910 3783 3900 4850 5044 5820 6305 7275 7566 9700 12610 14550 15132 18915 25220 29100 31525 37830 63050 75660 94575 120737 126100 189150 241474 362211 378300 482948 603685 724422 1207370 1448844 1569581 1811055 2414740 3018425 3139162 3622110 4708743 6036850 6278324 7244220 7847905 9055275 9417486 11711489 12073700 15695810 18110550 18834972 23422978 23543715 31391620 35134467 36221100 39239525 46845956 47087430 58557445 70268934 78479050 94174860 117114890 117718575 140537868 152249357 156958100 175672335 234229780 235437150 292787225 304498714 351344670 456748071 470874300 585574450 608997428 702689340 761246785 878361675 913496142 1171148900 1522493570 1756723350 1826992284 2283740355 3044987140 3513446700 3806233925 4567480710 7612467850 9134961420 11418701775 15224935700 22837403550 45674807100