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60230976400 = 24527217532
BaseRepresentation
bin111000000110000010…
…111100001110010000
312202110121012121210201
4320012002330032100
51441323112221100
643400354504544
74231402565200
oct700602741620
9182417177721
1060230976400
11235a88a8051
12b80b295154
1358ab56ba0a
142cb541a400
151877b7a36a
hexe060bc390

60230976400 has 135 divisors (see below), whose sum is σ = 168426292851. Its totient is φ = 20638840320.

The previous prime is 60230976367. The next prime is 60230976451. The reversal of 60230976400 is 467903206.

The square root of 60230976400 is 245420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28478587536 + 31752388864 = 168756^2 + 178192^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 60230976400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34357924 + ... + 34359676.

Almost surely, 260230976400 is an apocalyptic number.

60230976400 is the 245420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60230976400

60230976400 is an abundant number, since it is smaller than the sum of its proper divisors (108195316451).

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

60230976400 is an equidigital number, since it uses as much as digits as its factorization.

60230976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 60230976400 in words is "sixty billion, two hundred thirty million, nine hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1753 1960 2450 2800 3506 3920 4900 7012 8765 9800 12271 14024 17530 19600 24542 28048 35060 43825 49084 61355 70120 85897 87650 98168 122710 140240 171794 175300 196336 245420 306775 343588 350600 429485 490840 613550 687176 701200 858970 981680 1227100 1374352 1717940 2147425 2454200 3073009 3435880 4294850 4908400 6146018 6871760 8589700 12292036 15365045 17179400 21511063 24584072 30730090 34358800 43022126 49168144 61460180 76825225 86044252 107555315 122920360 150577441 153650450 172088504 215110630 245840720 301154882 307300900 344177008 430221260 537776575 602309764 614601800 752887205 860442520 1075553150 1204619528 1229203600 1505774410 1720885040 2151106300 2409239056 3011548820 3764436025 4302212600 6023097640 7528872050 8604425200 12046195280 15057744100 30115488200 60230976400