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68148043400 = 23524134923813
BaseRepresentation
bin111111011101111100…
…001001111010001000
320111220100120022000102
4333131330021322020
52104031344342100
651150133024532
74631525545163
oct773574117210
9214810508012
1068148043400
11269a0880728
121125a785148
136570865748
143426a96ada
151b8cc42cd5
hexfddf09e88

68148043400 has 96 divisors (see below), whose sum is σ = 162780597000. Its totient is φ = 26517043200.

The previous prime is 68148043373. The next prime is 68148043427. The reversal of 68148043400 is 434084186.

It is an interprime number because it is at equal distance from previous prime (68148043373) and next prime (68148043427).

It can be written as a sum of positive squares in 12 ways, for example, as 650964196 + 67497079204 = 25514^2 + 259802^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2849894 + ... + 2873706.

Almost surely, 268148043400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68148043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81390298500).

68148043400 is an abundant number, since it is smaller than the sum of its proper divisors (94632553600).

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

68148043400 is a wasteful number, since it uses less digits than its factorization.

68148043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24219 (or 24210 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 68148043400 in words is "sixty-eight billion, one hundred forty-eight million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 349 410 698 820 1025 1396 1640 1745 2050 2792 3490 4100 6980 8200 8725 13960 14309 17450 23813 28618 34900 47626 57236 69800 71545 95252 114472 119065 143090 190504 238130 286180 357725 476260 572360 595325 715450 952520 976333 1190650 1430900 1952666 2381300 2861800 3905332 4762600 4881665 7810664 8310737 9763330 16621474 19526660 24408325 33242948 39053320 41553685 48816650 66485896 83107370 97633300 166214740 195266600 207768425 332429480 340740217 415536850 681480434 831073700 1362960868 1662147400 1703701085 2725921736 3407402170 6814804340 8518505425 13629608680 17037010850 34074021700 68148043400