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107782648380 = 22345116048409
BaseRepresentation
bin110010001100001011…
…0001011001000111100
3101022012120001211210000
41210120112023020330
53231214324222010
6121303100114300
710533645252321
oct1443026131074
9338176054700
10107782648380
114178a54a010
1218a80235990
13a219001724
14530690ab48
152c0c5ee7c0
hex191858b23c

107782648380 has 120 divisors (see below), whose sum is σ = 368856235440. Its totient is φ = 26129122560.

The previous prime is 107782648343. The next prime is 107782648459. The reversal of 107782648380 is 83846287701.

It is a happy number.

107782648380 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 82 + 6 + 483 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3006385 + ... + 3042024.

It is an arithmetic number, because the mean of its divisors is an integer number (3073801962).

Almost surely, 2107782648380 is an apocalyptic number.

107782648380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107782648380 is an abundant number, since it is smaller than the sum of its proper divisors (261073587060).

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

107782648380 is a wasteful number, since it uses less digits than its factorization.

107782648380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048441 (or 6048430 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 107782648380 in words is "one hundred seven billion, seven hundred eighty-two million, six hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 6048409 12096818 18145227 24193636 30242045 36290454 54435681 60484090 66532499 72580908 90726135 108871362 120968180 133064998 163307043 181452270 199597497 217742724 266129996 272178405 326614086 332662495 362904540 399194994 489921129 544356810 598792491 653228172 665324990 798389988 816535215 979842258 997987485 1088713620 1197584982 1330649980 1633070430 1796377473 1959684516 1995974970 2395169964 2449605645 2993962455 3266140860 3592754946 3991949940 4899211290 5389132419 5987924910 7185509892 8981887365 9798422580 10778264838 11975849820 17963774730 21556529676 26945662095 35927549460 53891324190 107782648380