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123638607048 = 23311678978539
BaseRepresentation
bin111001100100101101…
…1110110110011001000
3102211010120212000000110
41303021123312303020
54011202440411143
6132444312234320
711634610551135
oct1631133666310
9384116760013
10123638607048
1148486852490
121bb6639b9a0
13b874c93ca8
145dac6a558c
153339641533
hex1cc96f6cc8

123638607048 has 128 divisors (see below), whose sum is σ = 346078656000. Its totient is φ = 36491896320.

The previous prime is 123638607031. The next prime is 123638607073. The reversal of 123638607048 is 840706836321.

It is a junction number, because it is equal to n+sod(n) for n = 123638606988 and 123638607006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1534963 + ... + 1613501.

It is an arithmetic number, because the mean of its divisors is an integer number (2703739500).

Almost surely, 2123638607048 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 123638607048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173039328000).

123638607048 is an abundant number, since it is smaller than the sum of its proper divisors (222440048952).

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

123638607048 is a wasteful number, since it uses less digits than its factorization.

123638607048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78715 (or 78711 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 123638607048 in words is "one hundred twenty-three billion, six hundred thirty-eight million, six hundred seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 89 132 134 178 201 264 267 268 356 402 534 536 712 737 804 979 1068 1474 1608 1958 2136 2211 2937 2948 3916 4422 5874 5896 5963 7832 8844 11748 11926 17688 17889 23496 23852 35778 47704 65593 71556 78539 131186 143112 157078 196779 235617 262372 314156 393558 471234 524744 628312 787116 863929 942468 1574232 1727858 1884936 2591787 3455716 5183574 5262113 6911432 6989971 10367148 10524226 13979942 15786339 20734296 20969913 21048452 27959884 31572678 41939826 42096904 55919768 57883243 63145356 76889681 83879652 115766486 126290712 153779362 167759304 173649729 230669043 231532972 307558724 347299458 461338086 463065944 468328057 615117448 694598916 922676172 936656114 1389197832 1404984171 1845352344 1873312228 2809968342 3746624456 5151608627 5619936684 10303217254 11239873368 15454825881 20606434508 30909651762 41212869016 61819303524 123638607048