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20146597680 = 24351137206251
BaseRepresentation
bin10010110000110101…
…001010111100110000
31221000001101012110110
4102300311022330300
5312230012111210
613131043301320
71312152153246
oct226065127460
957001335413
1020146597680
1185a9258030
123aa307a840
131b90b85021
14d91966796
157cda77420
hex4b0d4af30

20146597680 has 160 divisors (see below), whose sum is σ = 69973878528. Its totient is φ = 4752000000.

The previous prime is 20146597619. The next prime is 20146597703. The reversal of 20146597680 is 8679564102.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5446 + ... + 200805.

Almost surely, 220146597680 is an apocalyptic number.

20146597680 is a gapful number since it is divisible by the number (20) 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 20146597680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34986939264).

20146597680 is an abundant number, since it is smaller than the sum of its proper divisors (49827280848).

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

20146597680 is a wasteful number, since it uses less digits than its factorization.

20146597680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206315 (or 206309 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 20146597680 in words is "twenty billion, one hundred forty-six million, five hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8880 9768 12210 16280 19536 24420 32560 48840 97680 206251 412502 618753 825004 1031255 1237506 1650008 2062510 2268761 2475012 3093765 3300016 4125020 4537522 4950024 6187530 6806283 7631287 8250040 9075044 9900048 11343805 12375060 13612566 15262574 16500080 18150088 22687610 22893861 24750120 27225132 30525148 34031415 36300176 38156435 45375220 45787722 49500240 54450264 61050296 68062830 76312870 83944157 90750440 91575444 108900528 114469305 122100592 136125660 152625740 167888314 181500880 183150888 228938610 251832471 272251320 305251480 335776628 366301776 419720785 457877220 503664942 544502640 610502960 671553256 839441570 915754440 1007329884 1259162355 1343106512 1678883140 1831508880 2014659768 2518324710 3357766280 4029319536 5036649420 6715532560 10073298840 20146597680