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3750115968 = 273640189
BaseRepresentation
bin1101111110000110…
…0011101010000000
3100200100111122000000
43133201203222000
530140012202333
61420042000000
7161634313464
oct33741435200
910610448000
103750115968
11165492a6a5
12887aa6000
13479c1ca41
142780a84a4
1516e365713
hexdf863a80

3750115968 has 112 divisors (see below), whose sum is σ = 11201555850. Its totient is φ = 1250007552.

The previous prime is 3750115921. The next prime is 3750115981. The reversal of 3750115968 is 8695110573.

It is a happy number.

3750115968 is a `hidden beast` number, since 3 + 7 + 50 + 1 + 1 + 596 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3736632384 + 13483584 = 61128^2 + 3672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 73218 + ... + 113406.

Almost surely, 23750115968 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 3750115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600777925).

3750115968 is an abundant number, since it is smaller than the sum of its proper divisors (7451439882).

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

3750115968 is an frugal number, since it uses more digits than its factorization.

3750115968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40221 (or 40194 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 3750115968 is about 61238.1904370141. The cubic root of 3750115968 is about 1553.6322679025.

The spelling of 3750115968 in words is "three billion, seven hundred fifty million, one hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 40189 46656 80378 93312 120567 160756 241134 321512 361701 482268 643024 723402 964536 1085103 1286048 1446804 1929072 2170206 2572096 2893608 3255309 3858144 4340412 5144192 5787216 6510618 7716288 8680824 9765927 11574432 13021236 15432576 17361648 19531854 23148864 26042472 29297781 34723296 39063708 46297728 52084944 58595562 69446592 78127416 104169888 117191124 138893184 156254832 208339776 234382248 312509664 416679552 468764496 625019328 937528992 1250038656 1875057984 3750115968