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61672125680 = 24511251279211
BaseRepresentation
bin111001011011111100…
…011111010011110000
312220012000222120221222
4321123330133103300
52002301031010210
644155355404212
74312202263454
oct713374372360
9186160876858
1061672125680
1124178341910
12bb51a53668
135a7acc7179
142db09a0664
15190e44c655
hexe5bf1f4f0

61672125680 has 80 divisors (see below), whose sum is σ = 157046698368. Its totient is φ = 22336800000.

The previous prime is 61672125643. The next prime is 61672125727. The reversal of 61672125680 is 8652127616.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 81275 + ... + 360485.

Almost surely, 261672125680 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 61672125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78523349184).

61672125680 is an abundant number, since it is smaller than the sum of its proper divisors (95374572688).

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

61672125680 is a wasteful number, since it uses less digits than its factorization.

61672125680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279486 (or 279480 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 61672125680 in words is "sixty-one billion, six hundred seventy-two million, one hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 251 440 502 880 1004 1255 2008 2510 2761 4016 5020 5522 10040 11044 13805 20080 22088 27610 44176 55220 110440 220880 279211 558422 1116844 1396055 2233688 2792110 3071321 4467376 5584220 6142642 11168440 12285284 15356605 22336880 24570568 30713210 49141136 61426420 70081961 122852840 140163922 245705680 280327844 350409805 560655688 700819610 770901571 1121311376 1401639220 1541803142 2803278440 3083606284 3854507855 5606556880 6167212568 7709015710 12334425136 15418031420 30836062840 61672125680