Search a number
-
+
48313113984 = 273366121149
BaseRepresentation
bin101100111111101011…
…111001110110000000
311121201000122111001000
4230333223321312000
51242421124121414
634110021412000
73330146456502
oct547753716600
9147630574030
1048313113984
1119542547683
129443b6a000
13472c435515
1424a469dd72
1513cb731b09
hexb3faf9d80

48313113984 has 128 divisors (see below), whose sum is σ = 142813260000. Its totient is φ = 16079247360.

The previous prime is 48313113971. The next prime is 48313113997. The reversal of 48313113984 is 48931131384.

48313113984 is a `hidden beast` number, since 483 + 1 + 31 + 139 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (48313113971) and next prime (48313113997).

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

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, 2273842 + ... + 2294990.

Almost surely, 248313113984 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 48313113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71406630000).

48313113984 is an abundant number, since it is smaller than the sum of its proper divisors (94500146016).

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

48313113984 is a wasteful number, since it uses less digits than its factorization.

48313113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21833 (or 21815 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 48313113984 in words is "forty-eight billion, three hundred thirteen million, one hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 661 864 1152 1322 1728 1983 2644 3456 3966 5288 5949 7932 10576 11898 15864 17847 21149 21152 23796 31728 35694 42298 42304 47592 63447 63456 71388 84596 84608 95184 126894 126912 142776 169192 190341 190368 253788 253824 285552 338384 380682 380736 507576 571023 571104 676768 761364 761472 1015152 1142046 1142208 1353536 1522728 2030304 2284092 2284416 2707072 3045456 4060608 4568184 6090912 8121216 9136368 12181824 13979489 18272736 24363648 27958978 36545472 41938467 55917956 73090944 83876934 111835912 125815401 167753868 223671824 251630802 335507736 377446203 447343648 503261604 671015472 754892406 894687296 1006523208 1342030944 1509784812 1789374592 2013046416 2684061888 3019569624 4026092832 5368123776 6039139248 8052185664 12078278496 16104371328 24156556992 48313113984