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4874670972 = 22325312720117
BaseRepresentation
bin1001000101000110…
…11001001101111100
3110120201112221110100
410202203121031330
534440403432342
62123413041100
7231541006503
oct44243311574
913521487410
104874670972
1120816964a6
12b40626190
135c8bba1c2
1434359983a
151d7e4be4c
hex1228d937c

4874670972 has 72 divisors (see below), whose sum is σ = 12654061056. Its totient is φ = 1581600384.

The previous prime is 4874670959. The next prime is 4874671003. The reversal of 4874670972 is 2790764784.

4874670972 is a `hidden beast` number, since 487 + 4 + 6 + 70 + 97 + 2 = 666.

It is a congruent number.

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, 232258 + ... + 252374.

It is an arithmetic number, because the mean of its divisors is an integer number (175750848).

Almost surely, 24874670972 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 4874670972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327030528).

4874670972 is an abundant number, since it is smaller than the sum of its proper divisors (7779390084).

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

4874670972 is a wasteful number, since it uses less digits than its factorization.

4874670972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20307 (or 20302 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 4874670972 is about 69818.8439606386. The cubic root of 4874670972 is about 1695.5675735200.

The spelling of 4874670972 in words is "four billion, eight hundred seventy-four million, six hundred seventy thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 127 159 212 254 318 381 477 508 636 762 954 1143 1524 1908 2286 4572 6731 13462 20117 20193 26924 40234 40386 60351 60579 80468 80772 120702 121158 181053 241404 242316 362106 724212 1066201 2132402 2554859 3198603 4264804 5109718 6397206 7664577 9595809 10219436 12794412 15329154 19191618 22993731 30658308 38383236 45987462 91974924 135407527 270815054 406222581 541630108 812445162 1218667743 1624890324 2437335486 4874670972