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42781435074 = 23273725933539
BaseRepresentation
bin100111110101111110…
…001110010011000010
311002102111211002010100
4213311332032103002
51200104021410244
631353054343230
73043110124650
oct476576162302
9132374732110
1042781435074
1117164006414
12835b4bab16
13405a3ac631
1420dbb5bdd0
1511a5ca5b69
hex9f5f8e4c2

42781435074 has 96 divisors (see below), whose sum is σ = 108870802560. Its totient is φ = 11884962816.

The previous prime is 42781435049. The next prime is 42781435093. The reversal of 42781435074 is 47053418724.

42781435074 is a `hidden beast` number, since 4 + 27 + 81 + 43 + 507 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12086797 + ... + 12090335.

It is an arithmetic number, because the mean of its divisors is an integer number (1134070860).

Almost surely, 242781435074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42781435074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54435401280).

42781435074 is an abundant number, since it is smaller than the sum of its proper divisors (66089367486).

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

42781435074 is a wasteful number, since it uses less digits than its factorization.

42781435074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6184 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 42781435074 in words is "forty-two billion, seven hundred eighty-one million, four hundred thirty-five thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 2593 3539 4662 5186 7078 7779 10617 15558 18151 21234 23337 24773 31851 36302 46674 49546 54453 63702 74319 95941 108906 130943 148638 163359 191882 222957 261886 287823 326718 392829 445914 575646 671587 785658 863469 916601 1178487 1343174 1726938 1833202 2014761 2356974 2749803 4029522 5499606 6044283 8249409 9176627 12088566 16498818 18353254 27529881 55059762 64236389 82589643 128472778 165179286 192709167 339535199 385418334 578127501 679070398 1018605597 1156255002 2037211194 2376746393 3055816791 4753492786 6111633582 7130239179 14260478358 21390717537 42781435074