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4675444077402 = 232743223386131
BaseRepresentation
bin100010000001001011000…
…1011101111001101011010
3121112222010201212222112100
41010002112023233031122
51103100302140434102
613535511440424230
7661534601636430
oct104022613571532
917488121788470
104675444077402
11154293232515a
12636170918076
1327bb7aa34157
14122415256d50
158194435da1c
hex440962ef35a

4675444077402 has 144 divisors (see below), whose sum is σ = 11903799331008. Its totient is φ = 1299160114560.

The previous prime is 4675444077379. The next prime is 4675444077467. The reversal of 4675444077402 is 2047704445764.

4675444077402 is a `hidden beast` number, since 46 + 7 + 54 + 440 + 77 + 40 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54239877 + ... + 54326007.

It is an arithmetic number, because the mean of its divisors is an integer number (82665273132).

Almost surely, 24675444077402 is an apocalyptic number.

4675444077402 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4675444077402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951899665504).

4675444077402 is an abundant number, since it is smaller than the sum of its proper divisors (7228355253606).

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

4675444077402 is a wasteful number, since it uses less digits than its factorization.

4675444077402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86465 (or 86419 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 54.

The spelling of 4675444077402 in words is "four trillion, six hundred seventy-five billion, four hundred forty-four million, seventy-seven thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 233 258 301 387 466 602 699 774 903 1398 1631 1806 1849 2097 2709 3262 3698 4194 4893 5418 5547 9786 10019 11094 12943 14679 16641 20038 25886 29358 30057 33282 38829 60114 70133 77658 86131 90171 116487 140266 172262 180342 210399 232974 258393 420798 430817 516786 602917 631197 775179 861634 1205834 1262394 1292451 1550358 1808751 2584902 3015719 3617502 3703633 3877353 5426253 6031438 7407266 7754706 9047157 10852506 11110899 18094314 20068523 22221798 25925431 27141471 33332697 40137046 51850862 54282942 60205569 66665394 77776293 120411138 140479661 155552586 159256219 180616707 233328879 280959322 318512438 361233414 421438983 466657758 477768657 842877966 862946489 955537314 1114793533 1264316949 1433305971 1725892978 2229587066 2528633898 2588839467 2866611942 3344380599 5177678934 6040625423 6688761198 7766518401 10033141797 12081250846 15533036802 18121876269 20066283594 36243752538 37106699027 54365628807 74213398054 108731257614 111320097081 222640194162 259746893189 333960291243 519493786378 667920582486 779240679567 1558481359134 2337722038701 4675444077402