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150628948720 = 24529974311553
BaseRepresentation
bin1000110001001000101…
…1110101101011110000
3112101210120221102022121
42030102023311223300
54431442002324340
6153110433044024
713611503636665
oct2142213655360
9471716842277
10150628948720
1158977129688
12252393b6614
1311286972673
14740d111a6c
153db8e1994a
hex23122f5af0

150628948720 has 160 divisors (see below), whose sum is σ = 367109003520. Its totient is φ = 57403637760.

The previous prime is 150628948669. The next prime is 150628948747. The reversal of 150628948720 is 27849826051.

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, 96991464 + ... + 96993016.

It is an arithmetic number, because the mean of its divisors is an integer number (2294431272).

Almost surely, 2150628948720 is an apocalyptic number.

150628948720 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 150628948720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183554501760).

150628948720 is an abundant number, since it is smaller than the sum of its proper divisors (216480054800).

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

150628948720 is a wasteful number, since it uses less digits than its factorization.

150628948720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

It can be divided in two parts, 1506289 and 48720, that added together give a square (1555009 = 12472).

The spelling of 150628948720 in words is "one hundred fifty billion, six hundred twenty-eight million, nine hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 97 116 145 194 232 290 388 431 464 485 580 776 862 970 1160 1552 1553 1724 1940 2155 2320 2813 3106 3448 3880 4310 5626 6212 6896 7760 7765 8620 11252 12424 12499 14065 15530 17240 22504 24848 24998 28130 31060 34480 41807 45008 45037 49996 56260 62120 62495 83614 90074 99992 112520 124240 124990 150641 167228 180148 199984 209035 225040 225185 249980 301282 334456 360296 418070 450370 499960 602564 668912 669343 720592 753205 836140 900740 999920 1205128 1212403 1338686 1506410 1672280 1801480 2410256 2424806 2677372 3012820 3344560 3346715 3602960 4368589 4849612 5354744 6025640 6062015 6693430 8737178 9699224 10709488 12051280 12124030 13386860 17474356 19398448 19410947 21842945 24248060 26773720 34948712 38821894 43685890 48496120 53547440 64926271 69897424 77643788 87371780 96992240 97054735 129852542 155287576 174743560 194109470 259705084 310575152 324631355 349487120 388218940 519410168 649262710 776437880 1038820336 1298525420 1552875760 1882861859 2597050840 3765723718 5194101680 7531447436 9414309295 15062894872 18828618590 30125789744 37657237180 75314474360 150628948720