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48101965044 = 22372617318371
BaseRepresentation
bin101100110011000110…
…011011110011110100
311121011022100000010220
4230303012123303310
51242003100340134
634033040014340
73322003646100
oct546306336364
9147138300126
1048101965044
111944433a321
1293a53013b0
1346c7776713
142484618900
1513b7e24149
hexb3319bcf4

48101965044 has 144 divisors (see below), whose sum is σ = 134528014656. Its totient is φ = 13332211200.

The previous prime is 48101965039. The next prime is 48101965057. The reversal of 48101965044 is 44056910184.

It is a super-3 number, since 3×481019650443 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 48101964987 and 48101965005.

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, 2609179 + ... + 2627549.

It is an arithmetic number, because the mean of its divisors is an integer number (934222324).

Almost surely, 248101965044 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 48101965044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67264007328).

48101965044 is an abundant number, since it is smaller than the sum of its proper divisors (86426049612).

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

48101965044 is a wasteful number, since it uses less digits than its factorization.

48101965044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18526 (or 18517 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 48101965044 in words is "forty-eight billion, one hundred one million, nine hundred sixty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 73 84 98 122 146 147 183 196 219 244 292 294 366 427 438 511 588 732 854 876 1022 1281 1533 1708 2044 2562 2989 3066 3577 4453 5124 5978 6132 7154 8906 8967 10731 11956 13359 14308 17812 17934 18371 21462 26718 31171 35868 36742 42924 53436 55113 62342 73484 93513 110226 124684 128597 187026 218197 220452 257194 374052 385791 436394 514388 654591 771582 872788 900179 1120631 1309182 1341083 1543164 1800358 2241262 2618364 2682166 2700537 3361893 3600716 4023249 4482524 5364332 5401074 6723786 7844417 8046498 9387581 10802148 13447572 15688834 16092996 18775162 23533251 28162743 31377668 37550324 47066502 54910919 56325486 65713067 81806063 94133004 109821838 112650972 131426134 163612126 164732757 197139201 219643676 245418189 262852268 327224252 329465514 394278402 490836378 572642441 658931028 788556804 981672756 1145284882 1717927323 2290569764 3435854646 4008497087 6871709292 8016994174 12025491261 16033988348 24050982522 48101965044