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2125742784912 = 2433232111101347
BaseRepresentation
bin11110111011110000001…
…001001100000110010000
321112012220200002011101000
4132323300021030012100
5234312010123104122
64304315221142000
7306402613353435
oct36736011140620
97465820064330
102125742784912
1174a58242523a
122a3b96b5a900
131255c2449a06
1474c5a7abb8c
153a46720e0ac
hex1eef024c190

2125742784912 has 160 divisors (see below), whose sum is σ = 6370038005760. Its totient is φ = 677445310080.

The previous prime is 2125742784883. The next prime is 2125742784923. The reversal of 2125742784912 is 2194872475212.

2125742784912 is a `hidden beast` number, since 2 + 1 + 2 + 57 + 427 + 84 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 20924223 + ... + 21025569.

It is an arithmetic number, because the mean of its divisors is an integer number (39812737536).

Almost surely, 22125742784912 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 2125742784912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185019002880).

2125742784912 is an abundant number, since it is smaller than the sum of its proper divisors (4244295220848).

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

2125742784912 is a wasteful number, since it uses less digits than its factorization.

2125742784912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103498 (or 103486 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 2125742784912 in words is "two trillion, one hundred twenty-five billion, seven hundred forty-two million, seven hundred eighty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2111 2484 3312 4222 4968 6333 8444 9936 12666 16888 18999 25332 33776 37998 48553 50664 56997 75996 97106 101328 101347 113994 145659 151992 194212 202694 227988 291318 303984 304041 388424 405388 436977 455976 582636 608082 776848 810776 873954 911952 912123 1165272 1216164 1310931 1621552 1747908 1824246 2330544 2330981 2432328 2621862 2736369 3495816 3648492 4661962 4864656 5243724 5472738 6991632 6992943 7296984 9323924 10487448 10945476 13985886 14593968 18647848 20974896 20978829 21890952 27971772 37295696 41957658 43781904 55943544 62936487 83915316 111887088 125872974 167830632 213943517 251745948 335661264 427887034 503491896 641830551 855774068 1006983792 1283661102 1711548136 1925491653 2567322204 3423096272 3850983306 4920700891 5134644408 5776474959 7701966612 9841401782 10269288816 11552949918 14762102673 15403933224 19682803564 23105899836 29524205346 30807866448 39365607128 44286308019 46211799672 59048410692 78731214256 88572616038 92423599344 118096821384 132858924057 177145232076 236193642768 265717848114 354290464152 531435696228 708580928304 1062871392456 2125742784912