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157457100060 = 2232513415716187
BaseRepresentation
bin1001001010100100101…
…1001010110100011100
3120001102110022110001200
42102221023022310130
510034433004200220
6200200152035500
714242635160521
oct2225113126434
9501373273050
10157457100060
1160860478867
1226624092b90
1311b044999c0
147899cd7148
1541685da890
hex24a92cad1c

157457100060 has 144 divisors (see below), whose sum is σ = 514515377376. Its totient is φ = 38746953216.

The previous prime is 157457099983. The next prime is 157457100107. The reversal of 157457100060 is 60001754751.

157457100060 is a `hidden beast` number, since 15 + 74 + 571 + 0 + 0 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157457099988 and 157457100024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9719287 + ... + 9735473.

It is an arithmetic number, because the mean of its divisors is an integer number (3573023454).

Almost surely, 2157457100060 is an apocalyptic number.

157457100060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157457100060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257257688688).

157457100060 is an abundant number, since it is smaller than the sum of its proper divisors (357058277316).

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

157457100060 is a wasteful number, since it uses less digits than its factorization.

157457100060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20372 (or 20367 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 157457100060 in words is "one hundred fifty-seven billion, four hundred fifty-seven million, one hundred thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4157 8314 12471 16187 16628 20785 24942 32374 37413 41570 48561 49884 54041 62355 64748 74826 80935 83140 97122 108082 124710 145683 149652 161870 162123 187065 194244 210431 216164 242805 249420 270205 291366 323740 324246 374130 420862 485610 486369 540410 582732 631293 648492 728415 748260 810615 841724 971220 972738 1052155 1080820 1262586 1456830 1621230 1893879 1945476 2104310 2431845 2525172 2913660 3156465 3242460 3787758 4208620 4863690 6312930 7575516 9469395 9727380 12625860 18938790 37877580 67289359 134578718 201868077 269157436 336446795 403736154 605604231 672893590 807472308 874761667 1009340385 1211208462 1345787180 1749523334 2018680770 2422416924 2624285001 3028021155 3499046668 4037361540 4373808335 5248570002 6056042310 7872855003 8747616670 10497140004 12112084620 13121425005 15745710006 17495233340 26242850010 31491420012 39364275015 52485700020 78728550030 157457100060