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5014295136 = 2532233124419
BaseRepresentation
bin1001010101110000…
…00001001001100000
3110221110021120210200
410222320001021200
540232124421021
62145321425200
7235154543154
oct45270011140
913843246720
105014295136
112143491174
12b7b33b200
1361bac5456
14357d43064
151e532c126
hex12ae01260

5014295136 has 144 divisors (see below), whose sum is σ = 15359984640. Its totient is φ = 1547124480.

The previous prime is 5014295123. The next prime is 5014295147. The reversal of 5014295136 is 6315924105.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5014295136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193135 + ... + 217553.

It is an arithmetic number, because the mean of its divisors is an integer number (106666560).

Almost surely, 25014295136 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 5014295136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679992320).

5014295136 is an abundant number, since it is smaller than the sum of its proper divisors (10345689504).

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

5014295136 is a wasteful number, since it uses less digits than its factorization.

5014295136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24489 (or 24478 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5014295136 is about 70811.6878488290. The cubic root of 5014295136 is about 1711.6040186747.

The spelling of 5014295136 in words is "five billion, fourteen million, two hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 69 72 92 93 96 124 138 144 184 186 207 248 276 279 288 368 372 414 496 552 558 713 736 744 828 992 1104 1116 1426 1488 1656 2139 2208 2232 2852 2976 3312 4278 4464 5704 6417 6624 8556 8928 11408 12834 17112 22816 24419 25668 34224 48838 51336 68448 73257 97676 102672 146514 195352 205344 219771 293028 390704 439542 561637 586056 756989 781408 879084 1123274 1172112 1513978 1684911 1758168 2246548 2270967 2344224 3027956 3369822 3516336 4493096 4541934 5054733 6055912 6739644 6812901 7032672 8986192 9083868 10109466 12111824 13479288 13625802 17410747 17972384 18167736 20218932 24223648 26958576 27251604 34821494 36335472 40437864 52232241 53917152 54503208 69642988 72670944 80875728 104464482 109006416 139285976 156696723 161751456 208928964 218012832 278571952 313393446 417857928 557143904 626786892 835715856 1253573784 1671431712 2507147568 5014295136