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5067415152 = 2432435031627
BaseRepresentation
bin1001011100000101…
…01001111001110000
3111002011020100202200
410232002221321300
540334224241102
62154500143200
7236401214052
oct45602517160
914064210680
105067415152
112170473008
12b95097b00
13629b03a07
1436100d8d2
151e9d2151c
hex12e0a9e70

5067415152 has 120 divisors (see below), whose sum is σ = 14549318784. Its totient is φ = 1645564032.

The previous prime is 5067415151. The next prime is 5067415153. The reversal of 5067415152 is 2515147605.

It is an interprime number because it is at equal distance from previous prime (5067415151) and next prime (5067415153).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5067415151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3113763 + ... + 3115389.

Almost surely, 25067415152 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 5067415152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274659392).

5067415152 is an abundant number, since it is smaller than the sum of its proper divisors (9481903632).

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

5067415152 is a wasteful number, since it uses less digits than its factorization.

5067415152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5067415152 is about 71185.7791416235. The cubic root of 5067415152 is about 1717.6268823076.

The spelling of 5067415152 in words is "five billion, sixty-seven million, four hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 503 516 688 774 1006 1032 1509 1548 1627 2012 2064 3018 3096 3254 4024 4527 4881 6036 6192 6508 8048 9054 9762 12072 13016 14643 18108 19524 21629 24144 26032 29286 36216 39048 43258 58572 64887 69961 72432 78096 86516 117144 129774 139922 173032 194661 209883 234288 259548 279844 346064 389322 419766 519096 559688 629649 778644 818381 839532 1038192 1119376 1259298 1557288 1636762 1679064 2455143 2518596 3114576 3273524 3358128 4910286 5037192 6547048 7365429 9820572 10074384 13094096 14730858 19641144 29461716 35190383 39282288 58923432 70380766 105571149 117846864 140761532 211142298 281523064 316713447 422284596 563046128 633426894 844569192 1266853788 1689138384 2533707576 5067415152