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5157721520 = 2457131167421
BaseRepresentation
bin1001100110110110…
…01001010110110000
3111022110011101210222
410303123021112300
541030334042040
62211443512212
7241545623660
oct46333112660
914273141728
105157721520
112207443576
12bbb388668
13642732233
1436cdda1a0
15202c0dbb5
hex1336c95b0

5157721520 has 160 divisors (see below), whose sum is σ = 13925108736. Its totient is φ = 1740211200.

The previous prime is 5157721507. The next prime is 5157721537. The reversal of 5157721520 is 251277515.

It is a super-2 number, since 2×51577215202 = 53204182555742220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 12250910 + ... + 12251330.

Almost surely, 25157721520 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 5157721520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962554368).

5157721520 is an abundant number, since it is smaller than the sum of its proper divisors (8767387216).

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

5157721520 is a wasteful number, since it uses less digits than its factorization.

5157721520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 35.

The square root of 5157721520 is about 71817.2787008809. The cubic root of 5157721520 is about 1727.7701365339.

The spelling of 5157721520 in words is "five billion, one hundred fifty-seven million, seven hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 167 262 280 334 421 524 560 655 668 835 842 917 1048 1169 1310 1336 1670 1684 1834 2096 2105 2338 2620 2672 2947 3340 3368 3668 4210 4585 4676 5240 5845 5894 6680 6736 7336 8420 9170 9352 10480 11690 11788 13360 14672 14735 16840 18340 18704 21877 23380 23576 29470 33680 36680 43754 46760 47152 55151 58940 70307 73360 87508 93520 109385 110302 117880 140614 153139 175016 218770 220604 235760 275755 281228 306278 350032 351535 386057 437540 441208 492149 551510 562456 612556 703070 765695 772114 875080 882416 984298 1103020 1124912 1225112 1406140 1531390 1544228 1750160 1930285 1968596 2206040 2450224 2460745 2812280 3062780 3088456 3860570 3937192 4412080 4921490 5624560 6125560 6176912 7721140 7874384 9210217 9842980 12251120 15442280 18420434 19685960 30884560 36840868 39371920 46051085 64471519 73681736 92102170 128943038 147363472 184204340 257886076 322357595 368408680 515772152 644715190 736817360 1031544304 1289430380 2578860760 5157721520