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5464062630 = 23351310115413
BaseRepresentation
bin1010001011010111…
…01111101010100110
3112002210121010211000
411011223233222212
542142300001010
62302105454130
7252255523515
oct50553575246
915083533730
105464062630
112354359144
121085aa1346
13691040370
1439b98067c
1521ea717c0
hex145aefaa6

5464062630 has 128 divisors (see below), whose sum is σ = 15848058240. Its totient is φ = 1331596800.

The previous prime is 5464062607. The next prime is 5464062647. The reversal of 5464062630 is 362604645.

5464062630 is a `hidden beast` number, since 5 + 4 + 640 + 6 + 2 + 6 + 3 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346804 + ... + 362216.

It is an arithmetic number, because the mean of its divisors is an integer number (123812955).

Almost surely, 25464062630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5464062630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924029120).

5464062630 is an abundant number, since it is smaller than the sum of its proper divisors (10383995610).

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

5464062630 is a wasteful number, since it uses less digits than its factorization.

5464062630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15543 (or 15537 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5464062630 is about 73919.2980892000. The cubic root of 5464062630 is about 1761.3211746128.

The spelling of 5464062630 in words is "five billion, four hundred sixty-four million, sixty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 101 117 130 135 195 202 234 270 303 351 390 505 585 606 702 909 1010 1170 1313 1515 1755 1818 2626 2727 3030 3510 3939 4545 5454 6565 7878 9090 11817 13130 13635 15413 19695 23634 27270 30826 35451 39390 46239 59085 70902 77065 92478 118170 138717 154130 177255 200369 231195 277434 354510 400738 416151 462390 601107 693585 832302 1001845 1202214 1387170 1556713 1803321 2003690 2080755 3005535 3113426 3606642 4161510 4670139 5409963 6011070 7783565 9016605 9340278 10819926 14010417 15567130 18033210 20237269 23350695 27049815 28020834 40474538 42031251 46701390 54099630 60711807 70052085 84062502 101186345 121423614 140104170 182135421 202372690 210156255 303559035 364270842 420312510 546406263 607118070 910677105 1092812526 1821354210 2732031315 5464062630