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45948780258 = 2331732151307
BaseRepresentation
bin101010110010110000…
…101011111011100010
311101121020201212220020
4222302300223323202
51223100341432013
633035241454310
73214440121323
oct526260537342
9141536655806
1045948780258
1118539985767
128aa41a1396
134443656994
14231c68644a
1512ddda3623
hexab2c2bee2

45948780258 has 96 divisors (see below), whose sum is σ = 97131589632. Its totient is φ = 14475024000.

The previous prime is 45948780253. The next prime is 45948780263. The reversal of 45948780258 is 85208784954.

It is an interprime number because it is at equal distance from previous prime (45948780253) and next prime (45948780263).

It is a super-2 number, since 2×459487802582 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45948780253) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 149670141 + ... + 149670447.

It is an arithmetic number, because the mean of its divisors is an integer number (1011787392).

Almost surely, 245948780258 is an apocalyptic number.

45948780258 is an abundant number, since it is smaller than the sum of its proper divisors (51182809374).

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

45948780258 is a wasteful number, since it uses less digits than its factorization.

45948780258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 45948780258 in words is "forty-five billion, nine hundred forty-eight million, seven hundred eighty thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 31 62 73 93 146 151 186 219 302 307 438 453 614 906 921 1842 2263 4526 4681 5329 6789 9362 9517 10658 11023 13578 14043 15987 19034 22046 22411 28086 28551 31974 33069 44822 46357 57102 66138 67233 92714 134466 139071 165199 278142 330398 341713 495597 683426 694741 804679 991194 1025139 1389482 1437067 1609358 1636003 2050278 2084223 2414037 2874134 3272006 3384061 4168446 4311201 4828074 4908009 6768122 8622402 9816018 10152183 20304366 24945049 49890098 50716093 74835147 101432186 104905891 149670294 152148279 209811782 247036453 304296558 314717673 494072906 629435346 741109359 1482218718 7658130043 15316260086 22974390129 45948780258