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104626226556 = 223323251167809
BaseRepresentation
bin110000101110000110…
…1011000010101111100
3101000001120201000001000
41201130031120111330
53203233303222211
6120021543050300
710362510152325
oct1413415302574
9330046630030
10104626226556
114040a860635
121833b140990
139b350b02c7
1450c762744c
152ac545d656
hex185c35857c

104626226556 has 96 divisors (see below), whose sum is σ = 284176166400. Its totient is φ = 33225984000.

The previous prime is 104626226539. The next prime is 104626226611. The reversal of 104626226556 is 655622626401.

104626226556 is a `hidden beast` number, since 10 + 4 + 6 + 2 + 62 + 26 + 556 = 666.

It is a super-2 number, since 2×1046262265562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 539580 + ... + 707388.

It is an arithmetic number, because the mean of its divisors is an integer number (2960168400).

Almost surely, 2104626226556 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 104626226556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142088083200).

104626226556 is an abundant number, since it is smaller than the sum of its proper divisors (179549939844).

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

104626226556 is a wasteful number, since it uses less digits than its factorization.

104626226556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168096 (or 168088 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 104626226556 in words is "one hundred four billion, six hundred twenty-six million, two hundred twenty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 251 276 414 502 621 753 828 1004 1242 1506 2259 2484 3012 4518 5773 6777 9036 11546 13554 17319 23092 27108 34638 51957 69276 103914 155871 167809 207828 311742 335618 503427 623484 671236 1006854 1510281 2013708 3020562 3859607 4530843 6041124 7719214 9061686 11578821 15438428 18123372 23157642 34736463 42120059 46315284 69472926 84240118 104209389 126360177 138945852 168480236 208418778 252720354 379080531 416837556 505440708 758161062 968761357 1137241593 1516322124 1937522714 2274483186 2906284071 3875045428 4548966372 5812568142 8718852213 11625136284 17437704426 26156556639 34875408852 52313113278 104626226556