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468007696320 = 26354710372511
BaseRepresentation
bin1101100111101110110…
…11101011011111000000
31122202000021001022000020
412303313123223133000
530131434432240240
6554555541053440
745545444532063
oct6636733533700
91582007038006
10468007696320
111705321641aa
12768529b7280
13351960a4778
141891a3648da
15c2921670d0
hex6cf76eb7c0

468007696320 has 112 divisors (see below), whose sum is σ = 1517539995648. Its totient is φ = 122146677760.

The previous prime is 468007696319. The next prime is 468007696349. The reversal of 468007696320 is 23696700864.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5141136 + ... + 5231375.

Almost surely, 2468007696320 is an apocalyptic number.

468007696320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468007696320 is an abundant number, since it is smaller than the sum of its proper divisors (1049532299328).

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

468007696320 is a wasteful number, since it uses less digits than its factorization.

468007696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372578 (or 10372568 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 468007696320 in words is "four hundred sixty-eight billion, seven million, six hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4512 5640 7520 9024 11280 15040 22560 45120 10372511 20745022 31117533 41490044 51862555 62235066 82980088 103725110 124470132 155587665 165960176 207450220 248940264 311175330 331920352 414900440 487508017 497880528 622350660 663840704 829800880 975016034 995761056 1244701320 1462524051 1659601760 1950032068 1991522112 2437540085 2489402640 2925048102 3319203520 3900064136 4875080170 4978805280 5850096204 7312620255 7800128272 9750160340 9957610560 11700192408 14625240510 15600256544 19500320680 23400384816 29250481020 31200513088 39000641360 46800769632 58500962040 78001282720 93601539264 117001924080 156002565440 234003848160 468007696320