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61661900240 = 2454353338207
BaseRepresentation
bin111001011011010101…
…011110110111010000
312220011022202002021222
4321123111132313100
52002240421301430
644154352304212
74312016334623
oct713325366720
9186138662258
1061661900240
1124172598336
12bb4a542068
135a78b56b05
142dad49bdba
15190d5cc9e5
hexe5b55edd0

61661900240 has 80 divisors (see below), whose sum is σ = 149466290688. Its totient is φ = 23636540928.

The previous prime is 61661900239. The next prime is 61661900269. The reversal of 61661900240 is 4200916616.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61661900240.

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, 13217 + ... + 351423.

Almost surely, 261661900240 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 61661900240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74733145344).

61661900240 is an abundant number, since it is smaller than the sum of its proper divisors (87804390448).

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

61661900240 is a wasteful number, since it uses less digits than its factorization.

61661900240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338316 (or 338310 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 61661900240 in words is "sixty-one billion, six hundred sixty-one million, nine hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 53 80 86 106 172 212 215 265 344 424 430 530 688 848 860 1060 1720 2120 2279 3440 4240 4558 9116 11395 18232 22790 36464 45580 91160 182320 338207 676414 1352828 1691035 2705656 3382070 5411312 6764140 13528280 14542901 17924971 27056560 29085802 35849942 58171604 71699884 72714505 89624855 116343208 143399768 145429010 179249710 232686416 286799536 290858020 358499420 581716040 716998840 770773753 1163432080 1433997680 1541547506 3083095012 3853868765 6166190024 7707737530 12332380048 15415475060 30830950120 61661900240