Search a number
-
+
74680071440 = 2451379908959
BaseRepresentation
bin100010110001101000…
…1110111010100010000
321010202120201200221212
41011203101313110100
52210421044241230
654150233035252
75252433063542
oct1054321672420
9233676650855
1074680071440
1129742a54007
1212582255b28
137071c1b6b0
1438863d7692
151e2141d895
hex1163477510

74680071440 has 80 divisors (see below), whose sum is σ = 189354547200. Its totient is φ = 27225110016.

The previous prime is 74680071419. The next prime is 74680071449. The reversal of 74680071440 is 4417008647.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×746800714402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74680071449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372320 + ... + 536639.

It is an arithmetic number, because the mean of its divisors is an integer number (2366931840).

Almost surely, 274680071440 is an apocalyptic number.

It is an amenable number.

74680071440 is an abundant number, since it is smaller than the sum of its proper divisors (114674475760).

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

74680071440 is a wasteful number, since it uses less digits than its factorization.

74680071440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909064 (or 909058 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 74680071440 in words is "seventy-four billion, six hundred eighty million, seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 158 208 260 316 395 520 632 790 1027 1040 1264 1580 2054 3160 4108 5135 6320 8216 10270 16432 20540 41080 82160 908959 1817918 3635836 4544795 7271672 9089590 11816467 14543344 18179180 23632934 36358360 47265868 59082335 71807761 72716720 94531736 118164670 143615522 189063472 236329340 287231044 359038805 472658680 574462088 718077610 933500893 945317360 1148924176 1436155220 1867001786 2872310440 3734003572 4667504465 5744620880 7468007144 9335008930 14936014288 18670017860 37340035720 74680071440