Search a number
-
+
1634903240448 = 28331131524201
BaseRepresentation
bin10111110010100111110…
…100111010111100000000
312210021222012212210202110
4113302213310322330000
5203241240212143243
63251021510215320
7226055266152402
oct27624764727400
95707865783673
101634903240448
115803a4291655
12224a31954540
13bb22b09c13a
14591b600ab72
152c7da8eee33
hex17ca7d3af00

1634903240448 has 144 divisors (see below), whose sum is σ = 4525884582912. Its totient is φ = 523361280000.

The previous prime is 1634903240447. The next prime is 1634903240549. The reversal of 1634903240448 is 8440423094361.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1634903240397 and 1634903240406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1634903240447) 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, 2856748 + ... + 3380948.

It is an arithmetic number, because the mean of its divisors is an integer number (31429754048).

Almost surely, 21634903240448 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 1634903240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262942291456).

1634903240448 is an abundant number, since it is smaller than the sum of its proper divisors (2890981342464).

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

1634903240448 is a wasteful number, since it uses less digits than its factorization.

1634903240448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524382 (or 524368 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 1634903240448 in words is "one trillion, six hundred thirty-four billion, nine hundred three million, two hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 131 186 192 248 256 262 372 384 393 496 524 744 768 786 992 1048 1488 1572 1984 2096 2976 3144 3968 4061 4192 5952 6288 7936 8122 8384 11904 12183 12576 16244 16768 23808 24366 25152 32488 33536 48732 50304 64976 97464 100608 129952 194928 259904 389856 519808 524201 779712 1039616 1048402 1559424 1572603 2096804 3118848 3145206 4193608 6290412 8387216 12580824 16250231 16774432 25161648 32500462 33548864 48750693 50323296 65000924 67097728 68670331 97501386 100646592 130001848 134195456 137340662 195002772 201293184 206010993 260003696 274681324 390005544 402586368 412021986 520007392 549362648 780011088 824043972 1040014784 1098725296 1560022176 1648087944 2080029568 2128780261 2197450592 3120044352 3296175888 4160059136 4257560522 4394901184 6240088704 6386340783 6592351776 8515121044 8789802368 12480177408 12772681566 13184703552 17030242088 17579604736 25545363132 26369407104 34060484176 51090726264 52738814208 68120968352 102181452528 136241936704 204362905056 272483873408 408725810112 544967746816 817451620224 1634903240448