Search a number
-
+
74247900672 = 293116776491
BaseRepresentation
bin100010100100110000…
…1010000111000000000
321002122110112011010010
41011021201100320000
52204024430310142
654035314104520
75235634512501
oct1051141207000
9232573464103
1074247900672
1129541005790
121248157b140
13700352504a
143844c5aba8
151de8502e9c
hex1149850e00

74247900672 has 160 divisors (see below), whose sum is σ = 216134987904. Its totient is φ = 22462668800.

The previous prime is 74247900667. The next prime is 74247900679. The reversal of 74247900672 is 27600974247.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74247900679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11435347 + ... + 11441837.

Almost surely, 274247900672 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 74247900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108067493952).

74247900672 is an abundant number, since it is smaller than the sum of its proper divisors (141887087232).

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

74247900672 is a wasteful number, since it uses less digits than its factorization.

74247900672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 74247900672 in words is "seventy-four billion, two hundred forty-seven million, nine hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 677 704 768 1056 1354 1408 1536 2031 2112 2708 2816 4062 4224 5416 5632 6491 7447 8124 8448 10832 12982 14894 16248 16896 19473 21664 22341 25964 29788 32496 38946 43328 44682 51928 59576 64992 71401 77892 86656 89364 103856 119152 129984 142802 155784 173312 178728 207712 214203 238304 259968 285604 311568 346624 357456 415424 428406 476608 519936 571208 623136 714912 830848 856812 953216 1039872 1142416 1246272 1429824 1661696 1713624 1906432 2284832 2492544 2859648 3323392 3427248 3812864 4394407 4569664 4985088 5719296 6854496 8788814 9139328 9970176 11438592 13183221 13708992 17577628 18278656 26366442 27417984 35155256 36557312 48338477 52732884 54835968 70310512 96676954 105465768 109671936 140621024 145015431 193353908 210931536 281242048 290030862 386707816 421863072 562484096 580061724 773415632 843726144 1124968192 1160123448 1546831264 1687452288 2249936384 2320246896 3093662528 3374904576 4640493792 6187325056 6749809152 9280987584 12374650112 18561975168 24749300224 37123950336 74247900672