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45235244496 = 24313401180779
BaseRepresentation
bin101010001000001110…
…110000110111010000
311022202112002111211210
4222020032300313100
51220120210310441
632440352140120
73160654143201
oct521016606720
9138675074753
1045235244496
1118203130792
128925237640
13435b888580
1422919c75a8
15129b40a616
hexa883b0dd0

45235244496 has 80 divisors (see below), whose sum is σ = 126161300160. Its totient is φ = 13883750400.

The previous prime is 45235244489. The next prime is 45235244539. The reversal of 45235244496 is 69444253254.

It is a super-2 number, since 2×452352444962 (a number of 22 digits) contains 22 as substring.

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

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, 159835 + ... + 340613.

It is an arithmetic number, because the mean of its divisors is an integer number (1577016252).

Almost surely, 245235244496 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 45235244496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63080650080).

45235244496 is an abundant number, since it is smaller than the sum of its proper divisors (80926055664).

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

45235244496 is a wasteful number, since it uses less digits than its factorization.

45235244496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181204 (or 181198 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 45235244496 in words is "forty-five billion, two hundred thirty-five million, two hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 401 624 802 1203 1604 2406 3208 4812 5213 6416 9624 10426 15639 19248 20852 31278 41704 62556 83408 125112 180779 250224 361558 542337 723116 1084674 1446232 2169348 2350127 2892464 4338696 4700254 7050381 8677392 9400508 14100762 18801016 28201524 37602032 56403048 72492379 112806096 144984758 217477137 289969516 434954274 579939032 869908548 942400927 1159878064 1739817096 1884801854 2827202781 3479634192 3769603708 5654405562 7539207416 11308811124 15078414832 22617622248 45235244496