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74463710048 = 2572133798731
BaseRepresentation
bin100010101011001100…
…0100000101101100000
321010012111121101220222
41011112120200231200
52210000202210143
654112543422212
75244165043400
oct1052630405540
9233174541828
1074463710048
1129641906542
12125218b4968
1370391561c0
143865796800
151e0c431768
hex1156620b60

74463710048 has 144 divisors (see below), whose sum is σ = 188618797584. Its totient is φ = 28661713920.

The previous prime is 74463710021. The next prime is 74463710071. The reversal of 74463710048 is 84001736447.

It is a super-2 number, since 2×744637100482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74463709990 and 74463710008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704843 + ... + 803573.

It is an arithmetic number, because the mean of its divisors is an integer number (1309852761).

Almost surely, 274463710048 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 74463710048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94309398792).

74463710048 is an abundant number, since it is smaller than the sum of its proper divisors (114155087536).

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

74463710048 is a wasteful number, since it uses less digits than its factorization.

74463710048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98805 (or 98790 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 74463710048 in words is "seventy-four billion, four hundred sixty-three million, seven hundred ten thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 49 52 56 74 91 98 104 112 148 182 196 208 224 259 296 364 392 416 481 518 592 637 728 784 962 1036 1184 1274 1456 1568 1813 1924 2072 2548 2912 3367 3626 3848 4144 5096 6734 7252 7696 8288 10192 13468 14504 15392 20384 23569 26936 29008 47138 53872 58016 94276 98731 107744 188552 197462 377104 394924 691117 754208 789848 1283503 1382234 1579696 2567006 2764468 3159392 3653047 4837819 5134012 5528936 7306094 8984521 9675638 10268024 11057872 14612188 17969042 19351276 20536048 22115744 25571329 29224376 35938084 38702552 41072096 47489611 51142658 58448752 62891647 71876168 77405104 94979222 102285316 116897504 125783294 143752336 154810208 178999303 189958444 204570632 251566588 287504672 332427277 357998606 379916888 409141264 503133176 664854554 715997212 759833776 818282528 1006266352 1329709108 1431994424 1519667552 2012532704 2326990939 2659418216 2863988848 4653981878 5318836432 5727977696 9307963756 10637672864 18615927512 37231855024 74463710048