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106749494316 = 2232371311913203
BaseRepresentation
bin110001101101011000…
…1000000010000101100
3101012112120000011211200
41203122301000100230
53222110332304231
6121012352045500
710466231505333
oct1433261002054
9335476004750
10106749494316
11412aa341083
1218832233890
13a0b2c56a6a
14524960cd1a
152b9ba6ebe6
hex18dac4042c

106749494316 has 144 divisors (see below), whose sum is σ = 280797124608. Its totient is φ = 34166620800.

The previous prime is 106749494261. The next prime is 106749494329. The reversal of 106749494316 is 613494947601.

106749494316 is a `hidden beast` number, since 1 + 0 + 67 + 494 + 94 + 3 + 1 + 6 = 666.

It is a super-2 number, since 2×1067494943162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33326371 + ... + 33329573.

It is an arithmetic number, because the mean of its divisors is an integer number (1949980032).

Almost surely, 2106749494316 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 106749494316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140398562304).

106749494316 is an abundant number, since it is smaller than the sum of its proper divisors (174047630292).

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

106749494316 is a wasteful number, since it uses less digits than its factorization.

106749494316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 106749494316 in words is "one hundred six billion, seven hundred forty-nine million, four hundred ninety-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 131 148 191 222 262 333 382 393 444 524 573 666 764 786 1146 1179 1332 1572 1719 2292 2358 3203 3438 4716 4847 6406 6876 7067 9609 9694 12812 14134 14541 19218 19388 21201 25021 28268 28827 29082 38436 42402 43623 50042 57654 58164 63603 75063 84804 87246 100084 115308 118511 127206 150126 174492 225189 237022 254412 300252 355533 419593 450378 474044 611773 711066 839186 900756 925777 1066599 1223546 1258779 1422132 1678372 1835319 1851554 2133198 2447092 2517558 2777331 3670638 3703108 3776337 4266396 5035116 5505957 5554662 7341276 7552674 8331993 11011914 11109324 15105348 15524941 16663986 22023828 22635601 31049882 33327972 45271202 46574823 62099764 67906803 80142263 90542404 93149646 135813606 139724469 160284526 186299292 203720409 240426789 271627212 279448938 320569052 407440818 480853578 558897876 721280367 814881636 961707156 1442560734 2885121468 2965263731 5930527462 8895791193 11861054924 17791582386 26687373579 35583164772 53374747158 106749494316