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10151549240 = 2357611673559
BaseRepresentation
bin10010111010001010…
…00101100100111000
3222012110221010121012
421131011011210320
5131242244033430
64355154533052
7506364513320
oct113505054470
928173833535
1010151549240
11433a315218
121b73897188
13c5a20c591
146c4332280
153e6346695
hex25d145938

10151549240 has 128 divisors (see below), whose sum is σ = 26698291200. Its totient is φ = 3402017280.

The previous prime is 10151549227. The next prime is 10151549299. The reversal of 10151549240 is 4294515101.

It is a junction number, because it is equal to n+sod(n) for n = 10151549197 and 10151549206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2850581 + ... + 2854139.

It is an arithmetic number, because the mean of its divisors is an integer number (208580400).

Almost surely, 210151549240 is an apocalyptic number.

10151549240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10151549240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13349145600).

10151549240 is an abundant number, since it is smaller than the sum of its proper divisors (16546741960).

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

10151549240 is a wasteful number, since it uses less digits than its factorization.

10151549240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 10151549240 in words is "ten billion, one hundred fifty-one million, five hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 167 244 280 305 334 427 488 610 668 835 854 1169 1220 1336 1670 1708 2135 2338 2440 3340 3416 3559 4270 4676 5845 6680 7118 8540 9352 10187 11690 14236 17080 17795 20374 23380 24913 28472 35590 40748 46760 49826 50935 71180 71309 81496 99652 101870 124565 142360 142618 199304 203740 217099 249130 285236 356545 407480 434198 498260 570472 594353 713090 868396 996520 1085495 1188706 1426180 1519693 1736792 2170990 2377412 2852360 2971765 3039386 4160471 4341980 4754824 5943530 6078772 7598465 8320942 8683960 11887060 12157544 15196930 16641884 20802355 23774120 30393860 33283768 36255533 41604710 60787720 72511066 83209420 145022132 166418840 181277665 253788731 290044264 362555330 507577462 725110660 1015154924 1268943655 1450221320 2030309848 2537887310 5075774620 10151549240