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49137446640 = 2435733279317
BaseRepresentation
bin101101110000110100…
…011110111011110000
311200211110202220212010
4231300310132323300
51301113141243030
634323510002520
73356446255632
oct556064367360
9150743686763
1049137446640
1119925897a37
129634046440
134831157919
142541d60a52
151428cb36b0
hexb70d1eef0

49137446640 has 80 divisors (see below), whose sum is σ = 152534442528. Its totient is φ = 13085395968.

The previous prime is 49137446599. The next prime is 49137446653. The reversal of 49137446640 is 4664473194.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49137446640.

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, 36262 + ... + 315578.

Almost surely, 249137446640 is an apocalyptic number.

49137446640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49137446640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76267221264).

49137446640 is an abundant number, since it is smaller than the sum of its proper divisors (103396995888).

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

49137446640 is a wasteful number, since it uses less digits than its factorization.

49137446640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280066 (or 280060 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 49137446640 in words is "forty-nine billion, one hundred thirty-seven million, four hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 733 1466 2199 2932 3665 4398 5864 7330 8796 10995 11728 14660 17592 21990 29320 35184 43980 58640 87960 175920 279317 558634 837951 1117268 1396585 1675902 2234536 2793170 3351804 4189755 4469072 5586340 6703608 8379510 11172680 13407216 16759020 22345360 33518040 67036080 204739361 409478722 614218083 818957444 1023696805 1228436166 1637914888 2047393610 2456872332 3071090415 3275829776 4094787220 4913744664 6142180830 8189574440 9827489328 12284361660 16379148880 24568723320 49137446640