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68372344683648 = 273261972967109
BaseRepresentation
bin11111000101111001011010…
…10100010011110010000000
322222002022222020222122202100
433202330231110103302000
532430203030214334043
6401225453241150400
720254511303514345
oct1742745524236200
9288068866878670
1068372344683648
111a870604124195
127803027a8b400
132c1c63b407365
1412c534c2b07cc
157d87c5583cd3
hex3e2f2d513c80

68372344683648 has 96 divisors (see below), whose sum is σ = 199973930118300. Its totient is φ = 22417162168320.

The previous prime is 68372344683647. The next prime is 68372344683673. The reversal of 68372344683648 is 84638644327386.

68372344683648 is a `hidden beast` number, since 6 + 8 + 3 + 72 + 34 + 468 + 3 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64743136801344 + 3629207882304 = 8046312^2 + 1905048^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (68372344683647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486413283 + ... + 486553826.

Almost surely, 268372344683648 is an apocalyptic number.

It is an amenable number.

68372344683648 is an abundant number, since it is smaller than the sum of its proper divisors (131601585434652).

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

68372344683648 is a wasteful number, since it uses less digits than its factorization.

68372344683648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972967190 (or 972967175 counting only the distinct ones).

The product of its digits is 2675441664, while the sum is 72.

The spelling of 68372344683648 in words is "sixty-eight trillion, three hundred seventy-two billion, three hundred forty-four million, six hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3904 4392 5856 7808 8784 11712 17568 23424 35136 70272 972967109 1945934218 2918901327 3891868436 5837802654 7783736872 8756703981 11675605308 15567473744 17513407962 23351210616 31134947488 35026815924 46702421232 59350993649 62269894976 70053631848 93404842464 118701987298 124539789952 140107263696 178052980947 186809684928 237403974596 280214527392 356105961894 373619369856 474807949192 534158942841 560429054784 712211923788 949615898384 1068317885682 1120858109568 1424423847576 1899231796768 2136635771364 2848847695152 3798463593536 4273271542728 5697695390304 7596927187072 8546543085456 11395390780608 17093086170912 22790781561216 34186172341824 68372344683648