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106578948690 = 2345269948751
BaseRepresentation
bin110001101000010011…
…0011011001001010010
3101012002200002120020000
41203100212123021102
53221233202324230
6120543420430430
710462061054634
oct1432046331122
9335080076200
10106578948690
1141222046685
12187a50a8416
13a0868132a6
145230ad6a54
152b8bad2b60
hex18d099b252

106578948690 has 80 divisors (see below), whose sum is σ = 286691011200. Its totient is φ = 28409940000.

The previous prime is 106578948689. The next prime is 106578948701. The reversal of 106578948690 is 96849875601.

106578948690 is a `hidden beast` number, since 1 + 0 + 65 + 7 + 8 + 9 + 486 + 90 = 666.

It is a super-2 number, since 2×1065789486902 (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 39 ways as a sum of consecutive naturals, for example, 2161815 + ... + 2210565.

It is an arithmetic number, because the mean of its divisors is an integer number (3583637640).

Almost surely, 2106578948690 is an apocalyptic number.

106578948690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106578948690 is an abundant number, since it is smaller than the sum of its proper divisors (180112062510).

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

106578948690 is a wasteful number, since it uses less digits than its factorization.

106578948690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51469 (or 51460 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 106578948690 in words is "one hundred six billion, five hundred seventy-eight million, nine hundred forty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2699 5398 8097 13495 16194 24291 26990 40485 48582 48751 72873 80970 97502 121455 145746 146253 218619 242910 243755 292506 364365 437238 438759 487510 728730 731265 877518 1093095 1316277 1462530 2186190 2193795 2632554 3948831 4387590 6581385 7897662 13162770 19744155 39488310 131578949 263157898 394736847 657894745 789473694 1184210541 1315789490 1973684235 2368421082 3552631623 3947368470 5921052705 7105263246 10657894869 11842105410 17763158115 21315789738 35526316230 53289474345 106578948690