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3973050768 = 24331286131
BaseRepresentation
bin1110110011001111…
…1111000110010000
3101020212222220001110
43230303333012100
531114100111033
61454124133320
7200312242251
oct35463770620
911225886043
103973050768
111759757935
1292a697240
134b417721b
1429993ab28
15183c00363
hexeccff190

3973050768 has 60 divisors (see below), whose sum is σ = 10605605424. Its totient is φ = 1281614400.

The previous prime is 3973050743. The next prime is 3973050853. The reversal of 3973050768 is 8670503793.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3063 + ... + 89193.

Almost surely, 23973050768 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 3973050768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302802712).

3973050768 is an abundant number, since it is smaller than the sum of its proper divisors (6632554656).

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

3973050768 is a wasteful number, since it uses less digits than its factorization.

3973050768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86204 (or 86167 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 3973050768 is about 63032.1407537456. The cubic root of 3973050768 is about 1583.8280792393.

The spelling of 3973050768 in words is "three billion, nine hundred seventy-three million, fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2883 3844 5766 7688 11532 15376 23064 46128 86131 172262 258393 344524 516786 689048 1033572 1378096 2067144 2670061 4134288 5340122 8010183 10680244 16020366 21360488 32040732 42720976 64081464 82771891 128162928 165543782 248315673 331087564 496631346 662175128 993262692 1324350256 1986525384 3973050768