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48631433413684 = 221119194929846881
BaseRepresentation
bin10110000111010111000110…
…10100000100010000110100
320101012010020012200022221211
423003223203110010100310
522333234133423214214
6251232545545451204
713146335153366422
oct1303534324042064
9211163205608854
1048631433413684
111454a525385840
1255551207a0b04
132119c0315b694
14c01ab9976112
155950363be0c4
hex2c3ae3504434

48631433413684 has 48 divisors (see below), whose sum is σ = 97778385432000. Its totient is φ = 20931020006400.

The previous prime is 48631433413657. The next prime is 48631433413711.

It is a happy number.

48631433413684 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (48631433413657) and next prime (48631433413711).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13294077 + ... + 16552804.

It is an arithmetic number, because the mean of its divisors is an integer number (2037049696500).

Almost surely, 248631433413684 is an apocalyptic number.

48631433413684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48631433413684 is an abundant number, since it is smaller than the sum of its proper divisors (49146952018316).

48631433413684 is a wasteful number, since it uses less digits than its factorization.

48631433413684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29848864 (or 29848862 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 58.

The spelling of 48631433413684 in words is "forty-eight trillion, six hundred thirty-one billion, four hundred thirty-three million, four hundred thirteen thousand, six hundred eighty-four".

Divisors: 1 2 4 11 19 22 38 44 76 209 418 836 1949 3898 7796 21439 37031 42878 74062 85756 148124 407341 814682 1629364 29846881 59693762 119387524 328315691 567090739 656631382 1134181478 1313262764 2268362956 6237998129 12475996258 24951992516 58171571069 116343142138 232686284276 639887281759 1105259850311 1279774563518 2210519700622 2559549127036 4421039401244 12157858353421 24315716706842 48631433413684