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103922704544 = 2529717971979
BaseRepresentation
bin110000011001001000…
…1101010000010100000
3100221020112220101021012
41200302101222002200
53200313203021134
6115424052120052
710336205261621
oct1406221520240
9327215811235
10103922704544
114008972608a
1218183606028
139a52409aa9
14505c013a48
152a837e26ce
hex183246a0a0

103922704544 has 96 divisors (see below), whose sum is σ = 215011843200. Its totient is φ = 49375943680.

The previous prime is 103922704541. The next prime is 103922704547. The reversal of 103922704544 is 445407229301.

103922704544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103922704541) and next prime (103922704547).

It is not an unprimeable number, because it can be changed into a prime (103922704541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52511747 + ... + 52513725.

It is an arithmetic number, because the mean of its divisors is an integer number (2239706700).

Almost surely, 2103922704544 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 103922704544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107505921600).

103922704544 is an abundant number, since it is smaller than the sum of its proper divisors (111089138656).

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

103922704544 is a wasteful number, since it uses less digits than its factorization.

103922704544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 103922704544 in words is "one hundred three billion, nine hundred twenty-two million, seven hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 71 116 142 232 284 464 568 797 928 1136 1594 1979 2059 2272 3188 3958 4118 6376 7916 8236 12752 15832 16472 23113 25504 31664 32944 46226 56587 57391 63328 65888 92452 113174 114782 140509 184904 226348 229564 281018 369808 452696 459128 562036 739616 905392 918256 1124072 1577263 1641023 1810784 1836512 2248144 3154526 3282046 4074761 4496288 6309052 6564092 8149522 12618104 13128184 16299044 25236208 26256368 32598088 45740627 50472416 52512736 65196176 91481254 111985673 130392352 182962508 223971346 365925016 447942692 731850032 895885384 1463700064 1791770768 3247584517 3583541536 6495169034 12990338068 25980676136 51961352272 103922704544