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123480137856 = 2731933151131
BaseRepresentation
bin111001011111111111…
…1010110000010000000
3102210201112122221011010
41302333333112002000
54010341403402411
6132420451520520
711630644565625
oct1627777260200
9383645587133
10123480137856
1148405356209
121bb212b9140
13b84b1bb23a
145d9561434c
15332a78c7a6
hex1cbffd6080

123480137856 has 128 divisors (see below), whose sum is σ = 346306809600. Its totient is φ = 38875161600.

The previous prime is 123480137779. The next prime is 123480137861. The reversal of 123480137856 is 658731084321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2389411 + ... + 2440541.

It is an arithmetic number, because the mean of its divisors is an integer number (2705521950).

Almost surely, 2123480137856 is an apocalyptic number.

123480137856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123480137856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173153404800).

123480137856 is an abundant number, since it is smaller than the sum of its proper divisors (222826671744).

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

123480137856 is a wasteful number, since it uses less digits than its factorization.

123480137856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51498 (or 51486 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 123480137856 in words is "one hundred twenty-three billion, four hundred eighty million, one hundred thirty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 331 384 456 608 662 912 993 1216 1324 1824 1986 2432 2648 3648 3972 5296 6289 7296 7944 10592 12578 15888 18867 21184 25156 31776 37734 42368 50312 51131 63552 75468 100624 102262 127104 150936 153393 201248 204524 301872 306786 402496 409048 603744 613572 804992 818096 971489 1207488 1227144 1636192 1942978 2414976 2454288 2914467 3272384 3885956 4908576 5828934 6544768 7771912 9817152 11657868 15543824 16924361 19634304 23315736 31087648 33848722 46631472 50773083 62175296 67697444 93262944 101546166 124350592 135394888 186525888 203092332 270789776 321562859 373051776 406184664 541579552 643125718 812369328 964688577 1083159104 1286251436 1624738656 1929377154 2166318208 2572502872 3249477312 3858754308 5145005744 6498954624 7717508616 10290011488 15435017232 20580022976 30870034464 41160045952 61740068928 123480137856