Search a number
-
+
47744004456 = 23323179726839
BaseRepresentation
bin101100011101110000…
…111011000101101000
311120020100202201112100
4230131300323011220
51240234431120311
633533331413400
73310066225161
oct543560730550
9146210681470
1047744004456
1119280278225
129305454260
13466b564015
14244cc78768
1513967b6a56
hexb1dc3b168

47744004456 has 96 divisors (see below), whose sum is σ = 133650316800. Its totient is φ = 15381394560.

The previous prime is 47744004421. The next prime is 47744004491. The reversal of 47744004456 is 65440044774.

It is a happy number.

47744004456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47744004421) and next prime (47744004491).

It is a super-2 number, since 2×477440044562 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1765485 + ... + 1792323.

It is an arithmetic number, because the mean of its divisors is an integer number (1392190800).

Almost surely, 247744004456 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 47744004456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66825158400).

47744004456 is an abundant number, since it is smaller than the sum of its proper divisors (85906312344).

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

47744004456 is a wasteful number, since it uses less digits than its factorization.

47744004456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27679 (or 27672 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 47744004456 in words is "forty-seven billion, seven hundred forty-four million, four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 797 1116 1594 2232 2391 3188 4782 6376 7173 9564 14346 19128 24707 26839 28692 49414 53678 57384 74121 80517 98828 107356 148242 161034 197656 214712 222363 241551 296484 322068 444726 483102 592968 644136 832009 889452 966204 1664018 1778904 1932408 2496027 3328036 4992054 6656072 7488081 9984108 14976162 19968216 21390683 29952324 42781366 59904648 64172049 85562732 128344098 171125464 192516147 256688196 385032294 513376392 663111173 770064588 1326222346 1540129176 1989333519 2652444692 3978667038 5304889384 5968000557 7957334076 11936001114 15914668152 23872002228 47744004456