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5149918704 = 2437373791093
BaseRepresentation
bin1001100101111010…
…11000010111110000
3111021220110222100210
410302331120113300
541021334344304
62211004344120
7241422405150
oct46275302760
914256428323
105149918704
112202aa4167
12bb8845040
13640c2c798
1436bd68760
152021bbc89
hex132f585f0

5149918704 has 160 divisors (see below), whose sum is σ = 15670981120. Its totient is φ = 1426553856.

The previous prime is 5149918601. The next prime is 5149918723. The reversal of 5149918704 is 4078199415.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4711182 + ... + 4712274.

It is an arithmetic number, because the mean of its divisors is an integer number (97943632).

Almost surely, 25149918704 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 5149918704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7835490560).

5149918704 is an abundant number, since it is smaller than the sum of its proper divisors (10521062416).

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

5149918704 is a wasteful number, since it uses less digits than its factorization.

5149918704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 5149918704 is about 71762.9340537300. The cubic root of 5149918704 is about 1726.8984159122.

The spelling of 5149918704 in words is "five billion, one hundred forty-nine million, nine hundred eighteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 379 444 518 592 758 777 888 1036 1093 1137 1516 1554 1776 2072 2186 2274 2653 3032 3108 3279 4144 4372 4548 5306 6064 6216 6558 7651 7959 8744 9096 10612 12432 13116 14023 15302 15918 17488 18192 21224 22953 26232 28046 30604 31836 40441 42069 42448 45906 52464 56092 61208 63672 80882 84138 91812 98161 112184 121323 122416 127344 161764 168276 183624 196322 224368 242646 283087 294483 323528 336552 367248 392644 414247 485292 566174 588966 647056 673104 785288 828494 849261 970584 1132348 1177932 1242741 1570576 1656988 1698522 1941168 2264696 2355864 2485482 2899729 3313976 3397044 4529392 4711728 4970964 5799458 6627952 6794088 8699187 9941928 11598916 13588176 15327139 17398374 19883856 23197832 30654278 34796748 45981417 46395664 61308556 69593496 91962834 107289973 122617112 139186992 183925668 214579946 245234224 321869919 367851336 429159892 643739838 735702672 858319784 1287479676 1716639568 2574959352 5149918704