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42654120504 = 23317791797393
BaseRepresentation
bin100111101110011000…
…100011101000111000
311002002122020211100220
4213232120203220320
51144323423324004
631332305500040
73040003020312
oct475630435070
9132078224326
1042654120504
11170a9159066
128324941620
134039bc4278
1420c8c9a7b2
151199a07dd9
hex9ee623a38

42654120504 has 128 divisors (see below), whose sum is σ = 114991488000. Its totient is φ = 13136707584.

The previous prime is 42654120503. The next prime is 42654120511. The reversal of 42654120504 is 40502145624.

42654120504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42654120503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5765832 + ... + 5773224.

It is an arithmetic number, because the mean of its divisors is an integer number (898371000).

Almost surely, 242654120504 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 42654120504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57495744000).

42654120504 is an abundant number, since it is smaller than the sum of its proper divisors (72337367496).

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

42654120504 is a wasteful number, since it uses less digits than its factorization.

42654120504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 42654120504 in words is "forty-two billion, six hundred fifty-four million, one hundred twenty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 179 204 237 316 358 408 474 537 632 716 948 1074 1343 1432 1896 2148 2686 3043 4029 4296 5372 6086 7393 8058 9129 10744 12172 14141 14786 16116 18258 22179 24344 28282 29572 32232 36516 42423 44358 56564 59144 73032 84846 88716 113128 125681 169692 177432 240397 251362 339384 377043 480794 502724 584047 721191 754086 961588 1005448 1168094 1323347 1442382 1508172 1752141 1923176 2336188 2646694 2884764 3016344 3504282 3970041 4672376 5293388 5769528 7008564 7940082 9928799 10586776 14017128 15880164 19857598 22496899 29786397 31760328 39715196 44993798 59572794 67490697 79430392 89987596 104544413 119145588 134981394 179975192 209088826 238291176 269962788 313633239 418177652 539925576 627266478 836355304 1254532956 1777255021 2509065912 3554510042 5331765063 7109020084 10663530126 14218040168 21327060252 42654120504